KILLED proof of input_NHSBD5f4VN.trs # AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).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) CpxTrsToCdtProof [UPPER BOUND(ID), 51 ms] (6) CdtProblem (7) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (10) TRS for Loop Detection (11) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (12) CpxRelTRS (13) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (14) typed CpxTrs (15) OrderProof [LOWER BOUND(ID), 0 ms] (16) typed CpxTrs (17) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms] (18) CpxWeightedTrs (19) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxTypedWeightedTrs (21) CompletionProof [UPPER BOUND(ID), 0 ms] (22) CpxTypedWeightedCompleteTrs (23) NarrowingProof [BOTH BOUNDS(ID, ID), 5717 ms] (24) CpxTypedWeightedCompleteTrs (25) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 8 ms] (26) CpxRNTS (27) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (28) CpxRNTS (29) CompletionProof [UPPER BOUND(ID), 0 ms] (30) CpxTypedWeightedCompleteTrs (31) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (32) CpxRNTS (33) CpxTrsToCdtProof [UPPER BOUND(ID), 15 ms] (34) CdtProblem (35) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (36) CdtProblem (37) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (38) CpxRelTRS (39) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (40) CpxTRS (41) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CpxWeightedTrs (43) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (44) CpxTypedWeightedTrs (45) CompletionProof [UPPER BOUND(ID), 0 ms] (46) CpxTypedWeightedCompleteTrs (47) CompletionProof [UPPER BOUND(ID), 0 ms] (48) CpxTypedWeightedCompleteTrs (49) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 7 ms] (50) CpxRNTS (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1 ms] (52) CdtProblem (53) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7 ms] (56) CdtProblem (57) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CdtProblem (59) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (60) CdtProblem (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 41 ms] (62) CdtProblem (63) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (64) CdtProblem (65) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (66) CdtProblem (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 44 ms] (68) CdtProblem (69) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (70) CdtProblem (71) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (72) CdtProblem (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 25 ms] (74) CdtProblem (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 9 ms] (76) CdtProblem (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (78) CdtProblem (79) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (80) CdtProblem (81) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (82) CdtProblem (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 94 ms] (84) CdtProblem (85) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (86) CdtProblem (87) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (88) CdtProblem (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 91 ms] (90) CdtProblem (91) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 12 ms] (92) CdtProblem (93) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (94) CdtProblem (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 22 ms] (96) CdtProblem (97) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 3 ms] (98) CdtProblem (99) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (100) CdtProblem (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 33 ms] (102) CdtProblem (103) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (104) CdtProblem (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 42 ms] (106) CdtProblem (107) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (108) CdtProblem (109) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (110) CdtProblem (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 55 ms] (112) CdtProblem (113) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 14 ms] (114) CdtProblem (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 68 ms] (116) CdtProblem (117) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (118) CdtProblem (119) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (120) CdtProblem (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 147 ms] (122) CdtProblem (123) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 34 ms] (124) CdtProblem (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 266 ms] (126) CdtProblem (127) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 50 ms] (128) CdtProblem (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 94 ms] (130) CdtProblem (131) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 24 ms] (132) CdtProblem (133) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 18 ms] (134) CdtProblem (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 77 ms] (136) CdtProblem (137) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (138) CdtProblem (139) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 17 ms] (140) CdtProblem (141) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 194 ms] (142) CdtProblem (143) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 26 ms] (144) CdtProblem (145) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 75 ms] (146) CdtProblem (147) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 257 ms] (148) CdtProblem (149) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 15 ms] (150) CdtProblem (151) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 101 ms] (152) CdtProblem (153) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 239 ms] (154) CdtProblem (155) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 30 ms] (156) CdtProblem (157) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 95 ms] (158) CdtProblem (159) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 260 ms] (160) CdtProblem (161) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 49 ms] (162) CdtProblem (163) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 105 ms] (164) CdtProblem (165) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 324 ms] (166) CdtProblem (167) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 59 ms] (168) CdtProblem (169) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 79 ms] (170) CdtProblem (171) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 286 ms] (172) CdtProblem (173) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 111 ms] (174) CdtProblem (175) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 318 ms] (176) CdtProblem (177) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 37 ms] (178) CdtProblem (179) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 106 ms] (180) CdtProblem (181) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 373 ms] (182) CdtProblem (183) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 133 ms] (184) CdtProblem (185) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 251 ms] (186) CdtProblem (187) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 83 ms] (188) CdtProblem (189) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 301 ms] (190) CdtProblem (191) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 68 ms] (192) CdtProblem (193) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 352 ms] (194) CdtProblem (195) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 68 ms] (196) CdtProblem (197) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 460 ms] (198) CdtProblem (199) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 114 ms] (200) CdtProblem (201) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 332 ms] (202) CdtProblem (203) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 90 ms] (204) CdtProblem (205) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 436 ms] (206) CdtProblem (207) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 89 ms] (208) 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, Z)) -> a__2ndspos(s(mark(N)), cons2(X, mark(Z))) a__2ndspos(s(N), cons2(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, Z)) -> a__2ndsneg(s(mark(N)), cons2(X, mark(Z))) a__2ndsneg(s(N), cons2(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(cons2(X1, X2)) -> cons2(X1, mark(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, Z)) -> a__2ndspos(s(mark(N)), cons2(X, mark(Z))) a__2ndspos(s(N), cons2(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, Z)) -> a__2ndsneg(s(mark(N)), cons2(X, mark(Z))) a__2ndsneg(s(N), cons2(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(cons2(X1, X2)) -> cons2(X1, mark(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, Z)) -> a__2ndspos(s(mark(N)), cons2(X, mark(Z))) a__2ndspos(s(N), cons2(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, Z)) -> a__2ndsneg(s(mark(N)), cons2(X, mark(Z))) a__2ndsneg(s(N), cons2(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(cons2(X1, X2)) -> cons2(X1, mark(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) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (6) 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(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, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSPOS(z0, z1) -> c8 A__2NDSNEG(0, z0) -> c9 A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(z0, z1) -> c15 A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PI(z0) -> c18 A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__PLUS(z0, z1) -> c22 A__TIMES(0, z0) -> c23 A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__TIMES(z0, z1) -> c27 A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c30 MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(0) -> c42 MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(nil) -> c46 MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rnil) -> c49 MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(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, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSPOS(z0, z1) -> c8 A__2NDSNEG(0, z0) -> c9 A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(z0, z1) -> c15 A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PI(z0) -> c18 A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__PLUS(z0, z1) -> c22 A__TIMES(0, z0) -> c23 A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__TIMES(z0, z1) -> c27 A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c30 MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(0) -> c42 MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(nil) -> c46 MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rnil) -> c49 MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(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_2, c4_2, c5_1, c6_2, c7_2, c8, c9, c10_2, c11_2, c12_1, c13_2, c14_2, c15, c16_2, c17_2, c18, c19_1, c20_2, c21_2, c22, c23, c24_2, c25_3, c26_3, c27, c28_2, c29_2, c30, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c42, c43_1, c44_1, c45_1, c46, c47_1, c48_1, c49, c50_1, c51_1 ---------------------------------------- (7) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID)) Converted S to standard rules, and D \ S as well as R to relative rules. ---------------------------------------- (8) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) A__FROM(z0) -> c1 A__2NDSPOS(0, z0) -> c2 A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSPOS(z0, z1) -> c8 A__2NDSNEG(0, z0) -> c9 A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(z0, z1) -> c15 A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PI(z0) -> c18 A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__PLUS(z0, z1) -> c22 A__TIMES(0, z0) -> c23 A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__TIMES(z0, z1) -> c27 A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c30 MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(0) -> c42 MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(nil) -> c46 MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rnil) -> c49 MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) The (relative) TRS S consists of the following 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Rewrite Strategy: INNERMOST ---------------------------------------- (9) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (10) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) A__FROM(z0) -> c1 A__2NDSPOS(0, z0) -> c2 A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSPOS(z0, z1) -> c8 A__2NDSNEG(0, z0) -> c9 A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(z0, z1) -> c15 A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PI(z0) -> c18 A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__PLUS(z0, z1) -> c22 A__TIMES(0, z0) -> c23 A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__TIMES(z0, z1) -> c27 A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c30 MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(0) -> c42 MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(nil) -> c46 MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rnil) -> c49 MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) The (relative) TRS S consists of the following 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Rewrite Strategy: INNERMOST ---------------------------------------- (11) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (12) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) A__FROM(z0) -> c1 A__2NDSPOS(0', z0) -> c2 A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSPOS(z0, z1) -> c8 A__2NDSNEG(0', z0) -> c9 A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(z0, z1) -> c15 A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0')), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0')), A__FROM(0')) A__PI(z0) -> c18 A__PLUS(0', z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__PLUS(z0, z1) -> c22 A__TIMES(0', z0) -> c23 A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__TIMES(z0, z1) -> c27 A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c30 MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(0') -> c42 MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(nil) -> c46 MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rnil) -> c49 MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) The (relative) TRS S consists of the following 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Rewrite Strategy: INNERMOST ---------------------------------------- (13) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Inferred types. ---------------------------------------- (14) Obligation: Innermost TRS: Rules: A__FROM(z0) -> c(MARK(z0)) A__FROM(z0) -> c1 A__2NDSPOS(0', z0) -> c2 A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSPOS(z0, z1) -> c8 A__2NDSNEG(0', z0) -> c9 A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(z0, z1) -> c15 A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0')), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0')), A__FROM(0')) A__PI(z0) -> c18 A__PLUS(0', z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__PLUS(z0, z1) -> c22 A__TIMES(0', z0) -> c23 A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__TIMES(z0, z1) -> c27 A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c30 MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(0') -> c42 MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(nil) -> c46 MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rnil) -> c49 MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Types: A__FROM :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c:c1 c :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c:c1 MARK :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c1 :: c:c1 A__2NDSPOS :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c2:c3:c4:c5:c6:c7:c8 0' :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c2 :: c2:c3:c4:c5:c6:c7:c8 s :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons cons :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c3 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c2:c3:c4:c5:c6:c7:c8 mark :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons cons2 :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c4 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c2:c3:c4:c5:c6:c7:c8 c5 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c2:c3:c4:c5:c6:c7:c8 c6 :: c9:c10:c11:c12:c13:c14:c15 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c2:c3:c4:c5:c6:c7:c8 A__2NDSNEG :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c9:c10:c11:c12:c13:c14:c15 c7 :: c9:c10:c11:c12:c13:c14:c15 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c2:c3:c4:c5:c6:c7:c8 c8 :: c2:c3:c4:c5:c6:c7:c8 c9 :: c9:c10:c11:c12:c13:c14:c15 c10 :: c9:c10:c11:c12:c13:c14:c15 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c9:c10:c11:c12:c13:c14:c15 c11 :: c9:c10:c11:c12:c13:c14:c15 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c9:c10:c11:c12:c13:c14:c15 c12 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c9:c10:c11:c12:c13:c14:c15 c13 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c9:c10:c11:c12:c13:c14:c15 c14 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c9:c10:c11:c12:c13:c14:c15 c15 :: c9:c10:c11:c12:c13:c14:c15 A__PI :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c16:c17:c18 c16 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c16:c17:c18 a__from :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c17 :: c2:c3:c4:c5:c6:c7:c8 -> c:c1 -> c16:c17:c18 c18 :: c16:c17:c18 A__PLUS :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c19:c20:c21:c22 c19 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c19:c20:c21:c22 c20 :: c19:c20:c21:c22 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c19:c20:c21:c22 c21 :: c19:c20:c21:c22 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c19:c20:c21:c22 c22 :: c19:c20:c21:c22 A__TIMES :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c23:c24:c25:c26:c27 c23 :: c23:c24:c25:c26:c27 c24 :: c19:c20:c21:c22 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c23:c24:c25:c26:c27 a__times :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c25 :: c19:c20:c21:c22 -> c23:c24:c25:c26:c27 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c23:c24:c25:c26:c27 c26 :: c19:c20:c21:c22 -> c23:c24:c25:c26:c27 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c23:c24:c25:c26:c27 c27 :: c23:c24:c25:c26:c27 A__SQUARE :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c28:c29:c30 c28 :: c23:c24:c25:c26:c27 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c28:c29:c30 c29 :: c23:c24:c25:c26:c27 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c28:c29:c30 c30 :: c28:c29:c30 from :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c31 :: c:c1 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 2ndspos :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c32 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c33 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 2ndsneg :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c34 :: c9:c10:c11:c12:c13:c14:c15 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c35 :: c9:c10:c11:c12:c13:c14:c15 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 pi :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c36 :: c16:c17:c18 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 plus :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c37 :: c19:c20:c21:c22 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c38 :: c19:c20:c21:c22 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 times :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c39 :: c23:c24:c25:c26:c27 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c40 :: c23:c24:c25:c26:c27 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 square :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c41 :: c28:c29:c30 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c42 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c43 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 posrecip :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c44 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 negrecip :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c45 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 nil :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c46 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c47 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c48 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 rnil :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c49 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 rcons :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c50 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c51 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 a__2ndspos :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons a__2ndsneg :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons a__pi :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons a__plus :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons a__square :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons hole_c:c11_52 :: c:c1 hole_0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons2_52 :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons hole_c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c513_52 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 hole_c2:c3:c4:c5:c6:c7:c84_52 :: c2:c3:c4:c5:c6:c7:c8 hole_c9:c10:c11:c12:c13:c14:c155_52 :: c9:c10:c11:c12:c13:c14:c15 hole_c16:c17:c186_52 :: c16:c17:c18 hole_c19:c20:c21:c227_52 :: c19:c20:c21:c22 hole_c23:c24:c25:c26:c278_52 :: c23:c24:c25:c26:c27 hole_c28:c29:c309_52 :: c28:c29:c30 gen_0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons10_52 :: Nat -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons gen_c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c5111_52 :: Nat -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 gen_c2:c3:c4:c5:c6:c7:c812_52 :: Nat -> c2:c3:c4:c5:c6:c7:c8 gen_c9:c10:c11:c12:c13:c14:c1513_52 :: Nat -> c9:c10:c11:c12:c13:c14:c15 gen_c19:c20:c21:c2214_52 :: Nat -> c19:c20:c21:c22 gen_c23:c24:c25:c26:c2715_52 :: Nat -> c23:c24:c25:c26:c27 ---------------------------------------- (15) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: A__FROM, MARK, A__2NDSPOS, mark, A__2NDSNEG, A__PI, a__from, A__PLUS, A__TIMES, a__times, A__SQUARE, a__2ndspos, a__2ndsneg, a__pi, a__plus, a__square They will be analysed ascendingly in the following order: A__FROM = MARK A__FROM = A__2NDSPOS A__FROM = A__2NDSNEG A__FROM = A__PI A__FROM = A__PLUS A__FROM = A__TIMES A__FROM = A__SQUARE MARK = A__2NDSPOS mark < MARK MARK = A__2NDSNEG MARK = A__PI MARK = A__PLUS MARK = A__TIMES MARK = A__SQUARE mark < A__2NDSPOS A__2NDSPOS = A__2NDSNEG A__2NDSPOS = A__PI A__2NDSPOS = A__PLUS A__2NDSPOS = A__TIMES A__2NDSPOS = A__SQUARE mark < A__2NDSNEG mark < A__PI mark = a__from mark < A__PLUS mark < A__TIMES mark = a__times mark < A__SQUARE mark = a__2ndspos mark = a__2ndsneg mark = a__pi mark = a__plus mark = a__square A__2NDSNEG = A__PI A__2NDSNEG = A__PLUS A__2NDSNEG = A__TIMES A__2NDSNEG = A__SQUARE a__from < A__PI A__PI = A__PLUS A__PI = A__TIMES A__PI = A__SQUARE a__from = a__times a__from = a__2ndspos a__from = a__2ndsneg a__from = a__pi a__from = a__plus a__from = a__square A__PLUS = A__TIMES A__PLUS = A__SQUARE a__times < A__TIMES A__TIMES = A__SQUARE a__times = a__2ndspos a__times = a__2ndsneg a__times = a__pi a__times = a__plus a__times = a__square a__2ndspos = a__2ndsneg a__2ndspos = a__pi a__2ndspos = a__plus a__2ndspos = a__square a__2ndsneg = a__pi a__2ndsneg = a__plus a__2ndsneg = a__square a__pi = a__plus a__pi = a__square a__plus = a__square ---------------------------------------- (16) Obligation: Innermost TRS: Rules: A__FROM(z0) -> c(MARK(z0)) A__FROM(z0) -> c1 A__2NDSPOS(0', z0) -> c2 A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSPOS(z0, z1) -> c8 A__2NDSNEG(0', z0) -> c9 A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(z0, z1) -> c15 A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0')), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0')), A__FROM(0')) A__PI(z0) -> c18 A__PLUS(0', z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__PLUS(z0, z1) -> c22 A__TIMES(0', z0) -> c23 A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__TIMES(z0, z1) -> c27 A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c30 MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(0') -> c42 MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(nil) -> c46 MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rnil) -> c49 MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Types: A__FROM :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c:c1 c :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c:c1 MARK :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c1 :: c:c1 A__2NDSPOS :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c2:c3:c4:c5:c6:c7:c8 0' :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c2 :: c2:c3:c4:c5:c6:c7:c8 s :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons cons :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c3 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c2:c3:c4:c5:c6:c7:c8 mark :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons cons2 :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c4 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c2:c3:c4:c5:c6:c7:c8 c5 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c2:c3:c4:c5:c6:c7:c8 c6 :: c9:c10:c11:c12:c13:c14:c15 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c2:c3:c4:c5:c6:c7:c8 A__2NDSNEG :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c9:c10:c11:c12:c13:c14:c15 c7 :: c9:c10:c11:c12:c13:c14:c15 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c2:c3:c4:c5:c6:c7:c8 c8 :: c2:c3:c4:c5:c6:c7:c8 c9 :: c9:c10:c11:c12:c13:c14:c15 c10 :: c9:c10:c11:c12:c13:c14:c15 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c9:c10:c11:c12:c13:c14:c15 c11 :: c9:c10:c11:c12:c13:c14:c15 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c9:c10:c11:c12:c13:c14:c15 c12 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c9:c10:c11:c12:c13:c14:c15 c13 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c9:c10:c11:c12:c13:c14:c15 c14 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c9:c10:c11:c12:c13:c14:c15 c15 :: c9:c10:c11:c12:c13:c14:c15 A__PI :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c16:c17:c18 c16 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c16:c17:c18 a__from :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c17 :: c2:c3:c4:c5:c6:c7:c8 -> c:c1 -> c16:c17:c18 c18 :: c16:c17:c18 A__PLUS :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c19:c20:c21:c22 c19 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c19:c20:c21:c22 c20 :: c19:c20:c21:c22 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c19:c20:c21:c22 c21 :: c19:c20:c21:c22 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c19:c20:c21:c22 c22 :: c19:c20:c21:c22 A__TIMES :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c23:c24:c25:c26:c27 c23 :: c23:c24:c25:c26:c27 c24 :: c19:c20:c21:c22 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c23:c24:c25:c26:c27 a__times :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c25 :: c19:c20:c21:c22 -> c23:c24:c25:c26:c27 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c23:c24:c25:c26:c27 c26 :: c19:c20:c21:c22 -> c23:c24:c25:c26:c27 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c23:c24:c25:c26:c27 c27 :: c23:c24:c25:c26:c27 A__SQUARE :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> c28:c29:c30 c28 :: c23:c24:c25:c26:c27 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c28:c29:c30 c29 :: c23:c24:c25:c26:c27 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c28:c29:c30 c30 :: c28:c29:c30 from :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c31 :: c:c1 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 2ndspos :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c32 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c33 :: c2:c3:c4:c5:c6:c7:c8 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 2ndsneg :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c34 :: c9:c10:c11:c12:c13:c14:c15 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c35 :: c9:c10:c11:c12:c13:c14:c15 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 pi :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c36 :: c16:c17:c18 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 plus :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c37 :: c19:c20:c21:c22 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c38 :: c19:c20:c21:c22 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 times :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c39 :: c23:c24:c25:c26:c27 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c40 :: c23:c24:c25:c26:c27 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 square :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c41 :: c28:c29:c30 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c42 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c43 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 posrecip :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c44 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 negrecip :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c45 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 nil :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c46 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c47 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c48 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 rnil :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c49 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 rcons :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons c50 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 c51 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 a__2ndspos :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons a__2ndsneg :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons a__pi :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons a__plus :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons a__square :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons hole_c:c11_52 :: c:c1 hole_0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons2_52 :: 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons hole_c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c513_52 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 hole_c2:c3:c4:c5:c6:c7:c84_52 :: c2:c3:c4:c5:c6:c7:c8 hole_c9:c10:c11:c12:c13:c14:c155_52 :: c9:c10:c11:c12:c13:c14:c15 hole_c16:c17:c186_52 :: c16:c17:c18 hole_c19:c20:c21:c227_52 :: c19:c20:c21:c22 hole_c23:c24:c25:c26:c278_52 :: c23:c24:c25:c26:c27 hole_c28:c29:c309_52 :: c28:c29:c30 gen_0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons10_52 :: Nat -> 0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons gen_c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c5111_52 :: Nat -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c51 gen_c2:c3:c4:c5:c6:c7:c812_52 :: Nat -> c2:c3:c4:c5:c6:c7:c8 gen_c9:c10:c11:c12:c13:c14:c1513_52 :: Nat -> c9:c10:c11:c12:c13:c14:c15 gen_c19:c20:c21:c2214_52 :: Nat -> c19:c20:c21:c22 gen_c23:c24:c25:c26:c2715_52 :: Nat -> c23:c24:c25:c26:c27 Generator Equations: gen_0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons10_52(0) <=> 0' gen_0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons10_52(+(x, 1)) <=> s(gen_0':s:cons:cons2:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:nil:rnil:rcons10_52(x)) gen_c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c5111_52(0) <=> c42 gen_c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c5111_52(+(x, 1)) <=> c31(c(c42), gen_c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c42:c43:c44:c45:c46:c47:c48:c49:c50:c5111_52(x)) gen_c2:c3:c4:c5:c6:c7:c812_52(0) <=> c2 gen_c2:c3:c4:c5:c6:c7:c812_52(+(x, 1)) <=> c3(gen_c2:c3:c4:c5:c6:c7:c812_52(x), c42) gen_c9:c10:c11:c12:c13:c14:c1513_52(0) <=> c9 gen_c9:c10:c11:c12:c13:c14:c1513_52(+(x, 1)) <=> c10(gen_c9:c10:c11:c12:c13:c14:c1513_52(x), c42) gen_c19:c20:c21:c2214_52(0) <=> c19(c42) gen_c19:c20:c21:c2214_52(+(x, 1)) <=> c20(gen_c19:c20:c21:c2214_52(x), c42) gen_c23:c24:c25:c26:c2715_52(0) <=> c23 gen_c23:c24:c25:c26:c2715_52(+(x, 1)) <=> c25(c19(c42), gen_c23:c24:c25:c26:c2715_52(x), c42) The following defined symbols remain to be analysed: a__from, A__FROM, MARK, A__2NDSPOS, mark, A__2NDSNEG, A__PI, A__PLUS, A__TIMES, a__times, A__SQUARE, a__2ndspos, a__2ndsneg, a__pi, a__plus, a__square They will be analysed ascendingly in the following order: A__FROM = MARK A__FROM = A__2NDSPOS A__FROM = A__2NDSNEG A__FROM = A__PI A__FROM = A__PLUS A__FROM = A__TIMES A__FROM = A__SQUARE MARK = A__2NDSPOS mark < MARK MARK = A__2NDSNEG MARK = A__PI MARK = A__PLUS MARK = A__TIMES MARK = A__SQUARE mark < A__2NDSPOS A__2NDSPOS = A__2NDSNEG A__2NDSPOS = A__PI A__2NDSPOS = A__PLUS A__2NDSPOS = A__TIMES A__2NDSPOS = A__SQUARE mark < A__2NDSNEG mark < A__PI mark = a__from mark < A__PLUS mark < A__TIMES mark = a__times mark < A__SQUARE mark = a__2ndspos mark = a__2ndsneg mark = a__pi mark = a__plus mark = a__square A__2NDSNEG = A__PI A__2NDSNEG = A__PLUS A__2NDSNEG = A__TIMES A__2NDSNEG = A__SQUARE a__from < A__PI A__PI = A__PLUS A__PI = A__TIMES A__PI = A__SQUARE a__from = a__times a__from = a__2ndspos a__from = a__2ndsneg a__from = a__pi a__from = a__plus a__from = a__square A__PLUS = A__TIMES A__PLUS = A__SQUARE a__times < A__TIMES A__TIMES = A__SQUARE a__times = a__2ndspos a__times = a__2ndsneg a__times = a__pi a__times = a__plus a__times = a__square a__2ndspos = a__2ndsneg a__2ndspos = a__pi a__2ndspos = a__plus a__2ndspos = a__square a__2ndsneg = a__pi a__2ndsneg = a__plus a__2ndsneg = a__square a__pi = a__plus a__pi = a__square a__plus = a__square ---------------------------------------- (17) RelTrsToWeightedTrsProof (UPPER BOUND(ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (18) 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, Z)) -> a__2ndspos(s(mark(N)), cons2(X, mark(Z))) [1] a__2ndspos(s(N), cons2(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, Z)) -> a__2ndsneg(s(mark(N)), cons2(X, mark(Z))) [1] a__2ndsneg(s(N), cons2(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(cons2(X1, X2)) -> cons2(X1, mark(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 ---------------------------------------- (19) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (20) 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, Z)) -> a__2ndspos(s(mark(N)), cons2(X, mark(Z))) [1] a__2ndspos(s(N), cons2(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, Z)) -> a__2ndsneg(s(mark(N)), cons2(X, mark(Z))) [1] a__2ndsneg(s(N), cons2(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(cons2(X1, X2)) -> cons2(X1, mark(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:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil cons :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil mark :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil from :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil s :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndspos :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 0 :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rnil :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil cons2 :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rcons :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil posrecip :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndsneg :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil negrecip :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__pi :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__plus :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__times :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__square :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndspos :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndsneg :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil pi :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil plus :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil times :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil square :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil nil :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil Rewrite Strategy: INNERMOST ---------------------------------------- (21) 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 ---------------------------------------- (22) 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, Z)) -> a__2ndspos(s(mark(N)), cons2(X, mark(Z))) [1] a__2ndspos(s(N), cons2(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, Z)) -> a__2ndsneg(s(mark(N)), cons2(X, mark(Z))) [1] a__2ndsneg(s(N), cons2(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(cons2(X1, X2)) -> cons2(X1, mark(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:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil cons :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil mark :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil from :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil s :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndspos :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 0 :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rnil :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil cons2 :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rcons :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil posrecip :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndsneg :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil negrecip :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__pi :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__plus :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__times :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__square :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndspos :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndsneg :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil pi :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil plus :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil times :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil square :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil nil :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil Rewrite Strategy: INNERMOST ---------------------------------------- (23) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (24) 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, Z)) -> a__2ndspos(s(mark(N)), cons2(X, mark(Z))) [1] a__2ndspos(s(N), cons2(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, Z)) -> a__2ndsneg(s(mark(N)), cons2(X, mark(Z))) [1] a__2ndsneg(s(N), cons2(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(X817)) -> a__times(a__from(mark(X817)), a__from(mark(X817))) [3] a__square(2ndspos(X1720, X2720)) -> a__times(a__2ndspos(mark(X1720), mark(X2720)), a__2ndspos(mark(X1720), mark(X2720))) [3] a__square(2ndsneg(X1721, X2721)) -> a__times(a__2ndsneg(mark(X1721), mark(X2721)), a__2ndsneg(mark(X1721), mark(X2721))) [3] a__square(pi(X818)) -> a__times(a__pi(mark(X818)), a__pi(mark(X818))) [3] a__square(plus(X1722, X2722)) -> a__times(a__plus(mark(X1722), mark(X2722)), a__plus(mark(X1722), mark(X2722))) [3] a__square(times(X1723, X2723)) -> a__times(a__times(mark(X1723), mark(X2723)), a__times(mark(X1723), mark(X2723))) [3] a__square(square(X819)) -> a__times(a__square(mark(X819)), a__square(mark(X819))) [3] a__square(0) -> a__times(0, 0) [3] a__square(s(X820)) -> a__times(s(mark(X820)), s(mark(X820))) [3] a__square(posrecip(X821)) -> a__times(posrecip(mark(X821)), posrecip(mark(X821))) [3] a__square(negrecip(X822)) -> a__times(negrecip(mark(X822)), negrecip(mark(X822))) [3] a__square(nil) -> a__times(nil, nil) [3] a__square(cons(X1724, X2724)) -> a__times(cons(mark(X1724), X2724), cons(mark(X1724), X2724)) [3] a__square(cons2(X1725, X2725)) -> a__times(cons2(X1725, mark(X2725)), cons2(X1725, mark(X2725))) [3] a__square(rnil) -> a__times(rnil, rnil) [3] a__square(rcons(X1726, X2726)) -> a__times(rcons(mark(X1726), mark(X2726)), rcons(mark(X1726), mark(X2726))) [3] mark(from(from(X823))) -> a__from(a__from(mark(X823))) [2] mark(from(2ndspos(X1727, X2727))) -> a__from(a__2ndspos(mark(X1727), mark(X2727))) [2] mark(from(2ndsneg(X1728, X2728))) -> a__from(a__2ndsneg(mark(X1728), mark(X2728))) [2] mark(from(pi(X824))) -> a__from(a__pi(mark(X824))) [2] mark(from(plus(X1729, X2729))) -> a__from(a__plus(mark(X1729), mark(X2729))) [2] mark(from(times(X1730, X2730))) -> a__from(a__times(mark(X1730), mark(X2730))) [2] mark(from(square(X825))) -> a__from(a__square(mark(X825))) [2] mark(from(0)) -> a__from(0) [2] mark(from(s(X826))) -> a__from(s(mark(X826))) [2] mark(from(posrecip(X827))) -> a__from(posrecip(mark(X827))) [2] mark(from(negrecip(X828))) -> a__from(negrecip(mark(X828))) [2] mark(from(nil)) -> a__from(nil) [2] mark(from(cons(X1731, X2731))) -> a__from(cons(mark(X1731), X2731)) [2] mark(from(cons2(X1732, X2732))) -> a__from(cons2(X1732, mark(X2732))) [2] mark(from(rnil)) -> a__from(rnil) [2] mark(from(rcons(X1733, X2733))) -> a__from(rcons(mark(X1733), mark(X2733))) [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(X1033))) -> a__pi(a__from(mark(X1033))) [2] mark(pi(2ndspos(X1972, X2972))) -> a__pi(a__2ndspos(mark(X1972), mark(X2972))) [2] mark(pi(2ndsneg(X1973, X2973))) -> a__pi(a__2ndsneg(mark(X1973), mark(X2973))) [2] mark(pi(pi(X1034))) -> a__pi(a__pi(mark(X1034))) [2] mark(pi(plus(X1974, X2974))) -> a__pi(a__plus(mark(X1974), mark(X2974))) [2] mark(pi(times(X1975, X2975))) -> a__pi(a__times(mark(X1975), mark(X2975))) [2] mark(pi(square(X1035))) -> a__pi(a__square(mark(X1035))) [2] mark(pi(0)) -> a__pi(0) [2] mark(pi(s(X1036))) -> a__pi(s(mark(X1036))) [2] mark(pi(posrecip(X1037))) -> a__pi(posrecip(mark(X1037))) [2] mark(pi(negrecip(X1038))) -> a__pi(negrecip(mark(X1038))) [2] mark(pi(nil)) -> a__pi(nil) [2] mark(pi(cons(X1976, X2976))) -> a__pi(cons(mark(X1976), X2976)) [2] mark(pi(cons2(X1977, X2977))) -> a__pi(cons2(X1977, mark(X2977))) [2] mark(pi(rnil)) -> a__pi(rnil) [2] mark(pi(rcons(X1978, X2978))) -> a__pi(rcons(mark(X1978), mark(X2978))) [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(X3043))) -> a__square(a__from(mark(X3043))) [2] mark(square(2ndspos(X11217, X21217))) -> a__square(a__2ndspos(mark(X11217), mark(X21217))) [2] mark(square(2ndsneg(X11218, X21218))) -> a__square(a__2ndsneg(mark(X11218), mark(X21218))) [2] mark(square(pi(X3044))) -> a__square(a__pi(mark(X3044))) [2] mark(square(plus(X11219, X21219))) -> a__square(a__plus(mark(X11219), mark(X21219))) [2] mark(square(times(X11220, X21220))) -> a__square(a__times(mark(X11220), mark(X21220))) [2] mark(square(square(X3045))) -> a__square(a__square(mark(X3045))) [2] mark(square(0)) -> a__square(0) [2] mark(square(s(X3046))) -> a__square(s(mark(X3046))) [2] mark(square(posrecip(X3047))) -> a__square(posrecip(mark(X3047))) [2] mark(square(negrecip(X3048))) -> a__square(negrecip(mark(X3048))) [2] mark(square(nil)) -> a__square(nil) [2] mark(square(cons(X11221, X21221))) -> a__square(cons(mark(X11221), X21221)) [2] mark(square(cons2(X11222, X21222))) -> a__square(cons2(X11222, mark(X21222))) [2] mark(square(rnil)) -> a__square(rnil) [2] mark(square(rcons(X11223, X21223))) -> a__square(rcons(mark(X11223), mark(X21223))) [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(cons2(X1, X2)) -> cons2(X1, mark(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:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil cons :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil mark :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil from :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil s :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndspos :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 0 :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rnil :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil cons2 :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rcons :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil posrecip :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndsneg :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil negrecip :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__pi :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__plus :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__times :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__square :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndspos :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndsneg :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil pi :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil plus :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil times :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil square :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil nil :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil Rewrite Strategy: INNERMOST ---------------------------------------- (25) 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 ---------------------------------------- (26) Obligation: Complexity RNTS consisting of the following rules: a__2ndsneg(z, z') -{ 1 }-> a__2ndsneg(1 + mark(N), 1 + X + mark(Z)) :|: Z >= 0, z = 1 + N, X >= 0, z' = 1 + X + Z, N >= 0 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 }-> a__2ndspos(1 + mark(N), 1 + X + mark(Z)) :|: Z >= 0, z = 1 + N, X >= 0, z' = 1 + X + Z, 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(X1723), mark(X2723)), a__times(mark(X1723), mark(X2723))) :|: X2723 >= 0, z = 1 + X1723 + X2723, X1723 >= 0 a__square(z) -{ 3 }-> a__times(a__square(mark(X819)), a__square(mark(X819))) :|: z = 1 + X819, X819 >= 0 a__square(z) -{ 3 }-> a__times(a__plus(mark(X1722), mark(X2722)), a__plus(mark(X1722), mark(X2722))) :|: X2722 >= 0, z = 1 + X1722 + X2722, X1722 >= 0 a__square(z) -{ 3 }-> a__times(a__pi(mark(X818)), a__pi(mark(X818))) :|: X818 >= 0, z = 1 + X818 a__square(z) -{ 3 }-> a__times(a__from(mark(X817)), a__from(mark(X817))) :|: z = 1 + X817, X817 >= 0 a__square(z) -{ 3 }-> a__times(a__2ndspos(mark(X1720), mark(X2720)), a__2ndspos(mark(X1720), mark(X2720))) :|: X2720 >= 0, X1720 >= 0, z = 1 + X1720 + X2720 a__square(z) -{ 3 }-> a__times(a__2ndsneg(mark(X1721), mark(X2721)), a__2ndsneg(mark(X1721), mark(X2721))) :|: X2721 >= 0, z = 1 + X1721 + X2721, X1721 >= 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(X820), 1 + mark(X820)) :|: z = 1 + X820, X820 >= 0 a__square(z) -{ 3 }-> a__times(1 + mark(X821), 1 + mark(X821)) :|: X821 >= 0, z = 1 + X821 a__square(z) -{ 3 }-> a__times(1 + mark(X822), 1 + mark(X822)) :|: X822 >= 0, z = 1 + X822 a__square(z) -{ 3 }-> a__times(1 + X1725 + mark(X2725), 1 + X1725 + mark(X2725)) :|: X2725 >= 0, z = 1 + X1725 + X2725, X1725 >= 0 a__square(z) -{ 3 }-> a__times(1 + mark(X1724) + X2724, 1 + mark(X1724) + X2724) :|: X2724 >= 0, z = 1 + X1724 + X2724, X1724 >= 0 a__square(z) -{ 3 }-> a__times(1 + mark(X1726) + mark(X2726), 1 + mark(X1726) + mark(X2726)) :|: X1726 >= 0, z = 1 + X1726 + X2726, X2726 >= 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(X11220), mark(X21220))) :|: X21220 >= 0, z = 1 + (1 + X11220 + X21220), X11220 >= 0 mark(z) -{ 2 }-> a__square(a__square(mark(X3045))) :|: X3045 >= 0, z = 1 + (1 + X3045) mark(z) -{ 2 }-> a__square(a__plus(mark(X11219), mark(X21219))) :|: X21219 >= 0, X11219 >= 0, z = 1 + (1 + X11219 + X21219) mark(z) -{ 2 }-> a__square(a__pi(mark(X3044))) :|: X3044 >= 0, z = 1 + (1 + X3044) mark(z) -{ 2 }-> a__square(a__from(mark(X3043))) :|: X3043 >= 0, z = 1 + (1 + X3043) mark(z) -{ 2 }-> a__square(a__2ndspos(mark(X11217), mark(X21217))) :|: X21217 >= 0, z = 1 + (1 + X11217 + X21217), X11217 >= 0 mark(z) -{ 2 }-> a__square(a__2ndsneg(mark(X11218), mark(X21218))) :|: X21218 >= 0, z = 1 + (1 + X11218 + X21218), X11218 >= 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(X3046)) :|: X3046 >= 0, z = 1 + (1 + X3046) mark(z) -{ 2 }-> a__square(1 + mark(X3047)) :|: X3047 >= 0, z = 1 + (1 + X3047) mark(z) -{ 2 }-> a__square(1 + mark(X3048)) :|: z = 1 + (1 + X3048), X3048 >= 0 mark(z) -{ 2 }-> a__square(1 + X11222 + mark(X21222)) :|: X11222 >= 0, X21222 >= 0, z = 1 + (1 + X11222 + X21222) mark(z) -{ 2 }-> a__square(1 + mark(X11221) + X21221) :|: X21221 >= 0, X11221 >= 0, z = 1 + (1 + X11221 + X21221) mark(z) -{ 2 }-> a__square(1 + mark(X11223) + mark(X21223)) :|: X11223 >= 0, z = 1 + (1 + X11223 + X21223), X21223 >= 0 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(X1975), mark(X2975))) :|: X2975 >= 0, X1975 >= 0, z = 1 + (1 + X1975 + X2975) mark(z) -{ 2 }-> a__pi(a__square(mark(X1035))) :|: z = 1 + (1 + X1035), X1035 >= 0 mark(z) -{ 2 }-> a__pi(a__plus(mark(X1974), mark(X2974))) :|: X1974 >= 0, z = 1 + (1 + X1974 + X2974), X2974 >= 0 mark(z) -{ 2 }-> a__pi(a__pi(mark(X1034))) :|: z = 1 + (1 + X1034), X1034 >= 0 mark(z) -{ 2 }-> a__pi(a__from(mark(X1033))) :|: X1033 >= 0, z = 1 + (1 + X1033) mark(z) -{ 2 }-> a__pi(a__2ndspos(mark(X1972), mark(X2972))) :|: z = 1 + (1 + X1972 + X2972), X1972 >= 0, X2972 >= 0 mark(z) -{ 2 }-> a__pi(a__2ndsneg(mark(X1973), mark(X2973))) :|: z = 1 + (1 + X1973 + X2973), X1973 >= 0, X2973 >= 0 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(X1036)) :|: z = 1 + (1 + X1036), X1036 >= 0 mark(z) -{ 2 }-> a__pi(1 + mark(X1037)) :|: z = 1 + (1 + X1037), X1037 >= 0 mark(z) -{ 2 }-> a__pi(1 + mark(X1038)) :|: z = 1 + (1 + X1038), X1038 >= 0 mark(z) -{ 2 }-> a__pi(1 + X1977 + mark(X2977)) :|: X1977 >= 0, X2977 >= 0, z = 1 + (1 + X1977 + X2977) mark(z) -{ 2 }-> a__pi(1 + mark(X1976) + X2976) :|: X1976 >= 0, X2976 >= 0, z = 1 + (1 + X1976 + X2976) mark(z) -{ 2 }-> a__pi(1 + mark(X1978) + mark(X2978)) :|: z = 1 + (1 + X1978 + X2978), X2978 >= 0, X1978 >= 0 mark(z) -{ 2 }-> a__from(a__times(mark(X1730), mark(X2730))) :|: X1730 >= 0, z = 1 + (1 + X1730 + X2730), X2730 >= 0 mark(z) -{ 2 }-> a__from(a__square(mark(X825))) :|: X825 >= 0, z = 1 + (1 + X825) mark(z) -{ 2 }-> a__from(a__plus(mark(X1729), mark(X2729))) :|: X2729 >= 0, z = 1 + (1 + X1729 + X2729), X1729 >= 0 mark(z) -{ 2 }-> a__from(a__pi(mark(X824))) :|: z = 1 + (1 + X824), X824 >= 0 mark(z) -{ 2 }-> a__from(a__from(mark(X823))) :|: z = 1 + (1 + X823), X823 >= 0 mark(z) -{ 2 }-> a__from(a__2ndspos(mark(X1727), mark(X2727))) :|: z = 1 + (1 + X1727 + X2727), X1727 >= 0, X2727 >= 0 mark(z) -{ 2 }-> a__from(a__2ndsneg(mark(X1728), mark(X2728))) :|: z = 1 + (1 + X1728 + X2728), X2728 >= 0, X1728 >= 0 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(X826)) :|: X826 >= 0, z = 1 + (1 + X826) mark(z) -{ 2 }-> a__from(1 + mark(X827)) :|: z = 1 + (1 + X827), X827 >= 0 mark(z) -{ 2 }-> a__from(1 + mark(X828)) :|: z = 1 + (1 + X828), X828 >= 0 mark(z) -{ 2 }-> a__from(1 + X1732 + mark(X2732)) :|: X2732 >= 0, z = 1 + (1 + X1732 + X2732), X1732 >= 0 mark(z) -{ 2 }-> a__from(1 + mark(X1731) + X2731) :|: z = 1 + (1 + X1731 + X2731), X2731 >= 0, X1731 >= 0 mark(z) -{ 2 }-> a__from(1 + mark(X1733) + mark(X2733)) :|: X2733 >= 0, z = 1 + (1 + X1733 + X2733), X1733 >= 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 + X1 + mark(X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 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 ---------------------------------------- (27) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (28) Obligation: Complexity RNTS consisting of the following rules: a__2ndsneg(z, z') -{ 1 }-> a__2ndsneg(1 + mark(z - 1), 1 + X + mark(Z)) :|: Z >= 0, X >= 0, z' = 1 + X + Z, z - 1 >= 0 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 }-> a__2ndspos(1 + mark(z - 1), 1 + X + mark(Z)) :|: Z >= 0, X >= 0, z' = 1 + X + Z, 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(X1723), mark(X2723)), a__times(mark(X1723), mark(X2723))) :|: X2723 >= 0, z = 1 + X1723 + X2723, X1723 >= 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(X1722), mark(X2722)), a__plus(mark(X1722), mark(X2722))) :|: X2722 >= 0, z = 1 + X1722 + X2722, X1722 >= 0 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(X1720), mark(X2720)), a__2ndspos(mark(X1720), mark(X2720))) :|: X2720 >= 0, X1720 >= 0, z = 1 + X1720 + X2720 a__square(z) -{ 3 }-> a__times(a__2ndsneg(mark(X1721), mark(X2721)), a__2ndsneg(mark(X1721), mark(X2721))) :|: X2721 >= 0, z = 1 + X1721 + X2721, X1721 >= 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 + X1725 + mark(X2725), 1 + X1725 + mark(X2725)) :|: X2725 >= 0, z = 1 + X1725 + X2725, X1725 >= 0 a__square(z) -{ 3 }-> a__times(1 + mark(X1724) + X2724, 1 + mark(X1724) + X2724) :|: X2724 >= 0, z = 1 + X1724 + X2724, X1724 >= 0 a__square(z) -{ 3 }-> a__times(1 + mark(X1726) + mark(X2726), 1 + mark(X1726) + mark(X2726)) :|: X1726 >= 0, z = 1 + X1726 + X2726, X2726 >= 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(X11220), mark(X21220))) :|: X21220 >= 0, z = 1 + (1 + X11220 + X21220), X11220 >= 0 mark(z) -{ 2 }-> a__square(a__square(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__square(a__plus(mark(X11219), mark(X21219))) :|: X21219 >= 0, X11219 >= 0, z = 1 + (1 + X11219 + X21219) 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(X11217), mark(X21217))) :|: X21217 >= 0, z = 1 + (1 + X11217 + X21217), X11217 >= 0 mark(z) -{ 2 }-> a__square(a__2ndsneg(mark(X11218), mark(X21218))) :|: X21218 >= 0, z = 1 + (1 + X11218 + X21218), X11218 >= 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 + X11222 + mark(X21222)) :|: X11222 >= 0, X21222 >= 0, z = 1 + (1 + X11222 + X21222) mark(z) -{ 2 }-> a__square(1 + mark(X11221) + X21221) :|: X21221 >= 0, X11221 >= 0, z = 1 + (1 + X11221 + X21221) mark(z) -{ 2 }-> a__square(1 + mark(X11223) + mark(X21223)) :|: X11223 >= 0, z = 1 + (1 + X11223 + X21223), X21223 >= 0 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(X1975), mark(X2975))) :|: X2975 >= 0, X1975 >= 0, z = 1 + (1 + X1975 + X2975) mark(z) -{ 2 }-> a__pi(a__square(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__pi(a__plus(mark(X1974), mark(X2974))) :|: X1974 >= 0, z = 1 + (1 + X1974 + X2974), X2974 >= 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(X1972), mark(X2972))) :|: z = 1 + (1 + X1972 + X2972), X1972 >= 0, X2972 >= 0 mark(z) -{ 2 }-> a__pi(a__2ndsneg(mark(X1973), mark(X2973))) :|: z = 1 + (1 + X1973 + X2973), X1973 >= 0, X2973 >= 0 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 + X1977 + mark(X2977)) :|: X1977 >= 0, X2977 >= 0, z = 1 + (1 + X1977 + X2977) mark(z) -{ 2 }-> a__pi(1 + mark(X1976) + X2976) :|: X1976 >= 0, X2976 >= 0, z = 1 + (1 + X1976 + X2976) mark(z) -{ 2 }-> a__pi(1 + mark(X1978) + mark(X2978)) :|: z = 1 + (1 + X1978 + X2978), X2978 >= 0, X1978 >= 0 mark(z) -{ 2 }-> a__from(a__times(mark(X1730), mark(X2730))) :|: X1730 >= 0, z = 1 + (1 + X1730 + X2730), X2730 >= 0 mark(z) -{ 2 }-> a__from(a__square(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__from(a__plus(mark(X1729), mark(X2729))) :|: X2729 >= 0, z = 1 + (1 + X1729 + X2729), X1729 >= 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(X1727), mark(X2727))) :|: z = 1 + (1 + X1727 + X2727), X1727 >= 0, X2727 >= 0 mark(z) -{ 2 }-> a__from(a__2ndsneg(mark(X1728), mark(X2728))) :|: z = 1 + (1 + X1728 + X2728), X2728 >= 0, X1728 >= 0 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 + X1732 + mark(X2732)) :|: X2732 >= 0, z = 1 + (1 + X1732 + X2732), X1732 >= 0 mark(z) -{ 2 }-> a__from(1 + mark(X1731) + X2731) :|: z = 1 + (1 + X1731 + X2731), X2731 >= 0, X1731 >= 0 mark(z) -{ 2 }-> a__from(1 + mark(X1733) + mark(X2733)) :|: X2733 >= 0, z = 1 + (1 + X1733 + X2733), X1733 >= 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 + X1 + mark(X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 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 ---------------------------------------- (29) 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 ---------------------------------------- (30) 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, Z)) -> a__2ndspos(s(mark(N)), cons2(X, mark(Z))) [1] a__2ndspos(s(N), cons2(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, Z)) -> a__2ndsneg(s(mark(N)), cons2(X, mark(Z))) [1] a__2ndsneg(s(N), cons2(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(cons2(X1, X2)) -> cons2(X1, mark(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:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil cons :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil mark :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil from :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil s :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndspos :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 0 :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rnil :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil cons2 :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil rcons :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil posrecip :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__2ndsneg :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil negrecip :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__pi :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__plus :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__times :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil a__square :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndspos :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil 2ndsneg :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil pi :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil plus :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil times :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil square :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil -> s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil nil :: s:from:cons:0:rnil:cons2:posrecip:rcons:negrecip:2ndspos:2ndsneg:pi:plus:times:square:nil Rewrite Strategy: INNERMOST ---------------------------------------- (31) 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 ---------------------------------------- (32) Obligation: Complexity RNTS consisting of the following rules: a__2ndsneg(z, z') -{ 1 }-> a__2ndsneg(1 + mark(N), 1 + X + mark(Z)) :|: Z >= 0, z = 1 + N, X >= 0, z' = 1 + X + Z, N >= 0 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 }-> a__2ndspos(1 + mark(N), 1 + X + mark(Z)) :|: Z >= 0, z = 1 + N, X >= 0, z' = 1 + X + Z, 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 + X1 + mark(X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 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. ---------------------------------------- (33) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(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, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSPOS(z0, z1) -> c8 A__2NDSNEG(0, z0) -> c9 A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(z0, z1) -> c15 A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PI(z0) -> c18 A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__PLUS(z0, z1) -> c22 A__TIMES(0, z0) -> c23 A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__TIMES(z0, z1) -> c27 A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c30 MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(0) -> c42 MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(nil) -> c46 MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rnil) -> c49 MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(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, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSPOS(z0, z1) -> c8 A__2NDSNEG(0, z0) -> c9 A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(z0, z1) -> c15 A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PI(z0) -> c18 A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__PLUS(z0, z1) -> c22 A__TIMES(0, z0) -> c23 A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__TIMES(z0, z1) -> c27 A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c30 MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(0) -> c42 MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(nil) -> c46 MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rnil) -> c49 MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(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_2, c4_2, c5_1, c6_2, c7_2, c8, c9, c10_2, c11_2, c12_1, c13_2, c14_2, c15, c16_2, c17_2, c18, c19_1, c20_2, c21_2, c22, c23, c24_2, c25_3, c26_3, c27, c28_2, c29_2, c30, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c42, c43_1, c44_1, c45_1, c46, c47_1, c48_1, c49, c50_1, c51_1 ---------------------------------------- (35) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 13 trailing nodes: MARK(rnil) -> c49 A__TIMES(0, z0) -> c23 A__PI(z0) -> c18 MARK(0) -> c42 A__2NDSPOS(z0, z1) -> c8 A__PLUS(z0, z1) -> c22 A__2NDSNEG(z0, z1) -> c15 A__2NDSPOS(0, z0) -> c2 A__SQUARE(z0) -> c30 A__TIMES(z0, z1) -> c27 A__FROM(z0) -> c1 A__2NDSNEG(0, z0) -> c9 MARK(nil) -> c46 ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(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, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(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_2, c4_2, c5_1, c6_2, c7_2, c10_2, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1 ---------------------------------------- (37) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID)) Converted S to standard rules, and D \ S as well as R to relative rules. ---------------------------------------- (38) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) The (relative) TRS S consists of the following 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Rewrite Strategy: INNERMOST ---------------------------------------- (39) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (40) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (41) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (42) 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(z0) -> c(MARK(z0)) [1] A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) [1] A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) [1] A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) [1] A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) [1] A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) [1] A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) [1] A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) [1] A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) [1] A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) [1] A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) [1] A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) [1] A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) [1] A__PLUS(0, z0) -> c19(MARK(z0)) [1] A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) [1] A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) [1] A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) [1] A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) [1] A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) [1] A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) [1] A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) [1] MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) [1] MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) [1] MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) [1] MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) [1] MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) [1] MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) [1] MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) [1] MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) [1] MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) [1] MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) [1] MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) [1] MARK(s(z0)) -> c43(MARK(z0)) [1] MARK(posrecip(z0)) -> c44(MARK(z0)) [1] MARK(negrecip(z0)) -> c45(MARK(z0)) [1] MARK(cons(z0, z1)) -> c47(MARK(z0)) [1] MARK(cons2(z0, z1)) -> c48(MARK(z1)) [1] MARK(rcons(z0, z1)) -> c50(MARK(z0)) [1] MARK(rcons(z0, z1)) -> c51(MARK(z1)) [1] a__from(z0) -> cons(mark(z0), from(s(z0))) [0] a__from(z0) -> from(z0) [0] a__2ndspos(0, z0) -> rnil [0] a__2ndspos(s(z0), cons(z1, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) [0] a__2ndspos(s(z0), cons2(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) [0] a__2ndspos(z0, z1) -> 2ndspos(z0, z1) [0] a__2ndsneg(0, z0) -> rnil [0] a__2ndsneg(s(z0), cons(z1, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) [0] a__2ndsneg(s(z0), cons2(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) [0] a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) [0] a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) [0] a__pi(z0) -> pi(z0) [0] a__plus(0, z0) -> mark(z0) [0] a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) [0] a__plus(z0, z1) -> plus(z0, z1) [0] a__times(0, z0) -> 0 [0] a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) [0] a__times(z0, z1) -> times(z0, z1) [0] a__square(z0) -> a__times(mark(z0), mark(z0)) [0] a__square(z0) -> square(z0) [0] mark(from(z0)) -> a__from(mark(z0)) [0] mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) [0] mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) [0] mark(pi(z0)) -> a__pi(mark(z0)) [0] mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) [0] mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) [0] mark(square(z0)) -> a__square(mark(z0)) [0] mark(0) -> 0 [0] mark(s(z0)) -> s(mark(z0)) [0] mark(posrecip(z0)) -> posrecip(mark(z0)) [0] mark(negrecip(z0)) -> negrecip(mark(z0)) [0] mark(nil) -> nil [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(cons2(z0, z1)) -> cons2(z0, mark(z1)) [0] mark(rnil) -> rnil [0] mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (43) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (44) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) [1] A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) [1] A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) [1] A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) [1] A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) [1] A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) [1] A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) [1] A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) [1] A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) [1] A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) [1] A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) [1] A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) [1] A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) [1] A__PLUS(0, z0) -> c19(MARK(z0)) [1] A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) [1] A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) [1] A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) [1] A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) [1] A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) [1] A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) [1] A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) [1] MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) [1] MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) [1] MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) [1] MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) [1] MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) [1] MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) [1] MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) [1] MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) [1] MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) [1] MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) [1] MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) [1] MARK(s(z0)) -> c43(MARK(z0)) [1] MARK(posrecip(z0)) -> c44(MARK(z0)) [1] MARK(negrecip(z0)) -> c45(MARK(z0)) [1] MARK(cons(z0, z1)) -> c47(MARK(z0)) [1] MARK(cons2(z0, z1)) -> c48(MARK(z1)) [1] MARK(rcons(z0, z1)) -> c50(MARK(z0)) [1] MARK(rcons(z0, z1)) -> c51(MARK(z1)) [1] a__from(z0) -> cons(mark(z0), from(s(z0))) [0] a__from(z0) -> from(z0) [0] a__2ndspos(0, z0) -> rnil [0] a__2ndspos(s(z0), cons(z1, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) [0] a__2ndspos(s(z0), cons2(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) [0] a__2ndspos(z0, z1) -> 2ndspos(z0, z1) [0] a__2ndsneg(0, z0) -> rnil [0] a__2ndsneg(s(z0), cons(z1, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) [0] a__2ndsneg(s(z0), cons2(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) [0] a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) [0] a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) [0] a__pi(z0) -> pi(z0) [0] a__plus(0, z0) -> mark(z0) [0] a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) [0] a__plus(z0, z1) -> plus(z0, z1) [0] a__times(0, z0) -> 0 [0] a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) [0] a__times(z0, z1) -> times(z0, z1) [0] a__square(z0) -> a__times(mark(z0), mark(z0)) [0] a__square(z0) -> square(z0) [0] mark(from(z0)) -> a__from(mark(z0)) [0] mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) [0] mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) [0] mark(pi(z0)) -> a__pi(mark(z0)) [0] mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) [0] mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) [0] mark(square(z0)) -> a__square(mark(z0)) [0] mark(0) -> 0 [0] mark(s(z0)) -> s(mark(z0)) [0] mark(posrecip(z0)) -> posrecip(mark(z0)) [0] mark(negrecip(z0)) -> negrecip(mark(z0)) [0] mark(nil) -> nil [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(cons2(z0, z1)) -> cons2(z0, mark(z1)) [0] mark(rnil) -> rnil [0] mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) [0] The TRS has the following type information: A__FROM :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> c c :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c MARK :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 A__2NDSPOS :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> c3:c4:c5:c6:c7 s :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil cons :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c3 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c3:c4:c5:c6:c7 mark :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil cons2 :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c4 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c3:c4:c5:c6:c7 c5 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c3:c4:c5:c6:c7 c6 :: c10:c11:c12:c13:c14 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c3:c4:c5:c6:c7 A__2NDSNEG :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> c10:c11:c12:c13:c14 c7 :: c10:c11:c12:c13:c14 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c3:c4:c5:c6:c7 c10 :: c10:c11:c12:c13:c14 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c10:c11:c12:c13:c14 c11 :: c10:c11:c12:c13:c14 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c10:c11:c12:c13:c14 c12 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c10:c11:c12:c13:c14 c13 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c10:c11:c12:c13:c14 c14 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c10:c11:c12:c13:c14 A__PI :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> c16:c17 c16 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c16:c17 a__from :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil 0 :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c17 :: c3:c4:c5:c6:c7 -> c -> c16:c17 A__PLUS :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> c19:c20:c21 c19 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c19:c20:c21 c20 :: c19:c20:c21 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c19:c20:c21 c21 :: c19:c20:c21 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c19:c20:c21 A__TIMES :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> c24:c25:c26 c24 :: c19:c20:c21 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c24:c25:c26 a__times :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c25 :: c19:c20:c21 -> c24:c25:c26 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c24:c25:c26 c26 :: c19:c20:c21 -> c24:c25:c26 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c24:c25:c26 A__SQUARE :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> c28:c29 c28 :: c24:c25:c26 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c28:c29 c29 :: c24:c25:c26 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c28:c29 from :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c31 :: c -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 2ndspos :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c32 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c33 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 2ndsneg :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c34 :: c10:c11:c12:c13:c14 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c35 :: c10:c11:c12:c13:c14 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 pi :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c36 :: c16:c17 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 plus :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c37 :: c19:c20:c21 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c38 :: c19:c20:c21 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 times :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c39 :: c24:c25:c26 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c40 :: c24:c25:c26 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 square :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c41 :: c28:c29 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c43 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 posrecip :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c44 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 negrecip :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c45 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c47 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c48 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 rcons :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil c50 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c51 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 a__2ndspos :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil rnil :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil a__2ndsneg :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil a__pi :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil a__plus :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil a__square :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil nil :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil Rewrite Strategy: INNERMOST ---------------------------------------- (45) 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: A__FROM_1 A__2NDSPOS_2 A__2NDSNEG_2 A__PI_1 A__PLUS_2 A__TIMES_2 A__SQUARE_1 MARK_1 (c) The following functions are completely defined: a__from_1 a__2ndspos_2 a__2ndsneg_2 a__pi_1 a__plus_2 a__times_2 a__square_1 mark_1 Due to the following rules being added: a__from(v0) -> null_a__from [0] a__2ndspos(v0, v1) -> null_a__2ndspos [0] a__2ndsneg(v0, v1) -> null_a__2ndsneg [0] a__pi(v0) -> null_a__pi [0] a__plus(v0, v1) -> null_a__plus [0] a__times(v0, v1) -> null_a__times [0] a__square(v0) -> null_a__square [0] mark(v0) -> null_mark [0] And the following fresh constants: null_a__from, null_a__2ndspos, null_a__2ndsneg, null_a__pi, null_a__plus, null_a__times, null_a__square, null_mark, const, const1, const2, const3, const4, const5, const6, const7 ---------------------------------------- (46) 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(z0) -> c(MARK(z0)) [1] A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) [1] A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) [1] A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) [1] A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) [1] A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) [1] A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) [1] A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) [1] A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) [1] A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) [1] A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) [1] A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) [1] A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) [1] A__PLUS(0, z0) -> c19(MARK(z0)) [1] A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) [1] A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) [1] A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) [1] A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) [1] A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) [1] A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) [1] A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) [1] MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) [1] MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) [1] MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) [1] MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) [1] MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) [1] MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) [1] MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) [1] MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) [1] MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) [1] MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) [1] MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) [1] MARK(s(z0)) -> c43(MARK(z0)) [1] MARK(posrecip(z0)) -> c44(MARK(z0)) [1] MARK(negrecip(z0)) -> c45(MARK(z0)) [1] MARK(cons(z0, z1)) -> c47(MARK(z0)) [1] MARK(cons2(z0, z1)) -> c48(MARK(z1)) [1] MARK(rcons(z0, z1)) -> c50(MARK(z0)) [1] MARK(rcons(z0, z1)) -> c51(MARK(z1)) [1] a__from(z0) -> cons(mark(z0), from(s(z0))) [0] a__from(z0) -> from(z0) [0] a__2ndspos(0, z0) -> rnil [0] a__2ndspos(s(z0), cons(z1, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) [0] a__2ndspos(s(z0), cons2(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) [0] a__2ndspos(z0, z1) -> 2ndspos(z0, z1) [0] a__2ndsneg(0, z0) -> rnil [0] a__2ndsneg(s(z0), cons(z1, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) [0] a__2ndsneg(s(z0), cons2(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) [0] a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) [0] a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) [0] a__pi(z0) -> pi(z0) [0] a__plus(0, z0) -> mark(z0) [0] a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) [0] a__plus(z0, z1) -> plus(z0, z1) [0] a__times(0, z0) -> 0 [0] a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) [0] a__times(z0, z1) -> times(z0, z1) [0] a__square(z0) -> a__times(mark(z0), mark(z0)) [0] a__square(z0) -> square(z0) [0] mark(from(z0)) -> a__from(mark(z0)) [0] mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) [0] mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) [0] mark(pi(z0)) -> a__pi(mark(z0)) [0] mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) [0] mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) [0] mark(square(z0)) -> a__square(mark(z0)) [0] mark(0) -> 0 [0] mark(s(z0)) -> s(mark(z0)) [0] mark(posrecip(z0)) -> posrecip(mark(z0)) [0] mark(negrecip(z0)) -> negrecip(mark(z0)) [0] mark(nil) -> nil [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(cons2(z0, z1)) -> cons2(z0, mark(z1)) [0] mark(rnil) -> rnil [0] mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) [0] a__from(v0) -> null_a__from [0] a__2ndspos(v0, v1) -> null_a__2ndspos [0] a__2ndsneg(v0, v1) -> null_a__2ndsneg [0] a__pi(v0) -> null_a__pi [0] a__plus(v0, v1) -> null_a__plus [0] a__times(v0, v1) -> null_a__times [0] a__square(v0) -> null_a__square [0] mark(v0) -> null_mark [0] The TRS has the following type information: A__FROM :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c c :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c MARK :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 A__2NDSPOS :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c3:c4:c5:c6:c7 s :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark cons :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c3 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c3:c4:c5:c6:c7 mark :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark cons2 :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c4 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c3:c4:c5:c6:c7 c5 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c3:c4:c5:c6:c7 c6 :: c10:c11:c12:c13:c14 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c3:c4:c5:c6:c7 A__2NDSNEG :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c10:c11:c12:c13:c14 c7 :: c10:c11:c12:c13:c14 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c3:c4:c5:c6:c7 c10 :: c10:c11:c12:c13:c14 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c10:c11:c12:c13:c14 c11 :: c10:c11:c12:c13:c14 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c10:c11:c12:c13:c14 c12 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c10:c11:c12:c13:c14 c13 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c10:c11:c12:c13:c14 c14 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c10:c11:c12:c13:c14 A__PI :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c16:c17 c16 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c16:c17 a__from :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark 0 :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c17 :: c3:c4:c5:c6:c7 -> c -> c16:c17 A__PLUS :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c19:c20:c21 c19 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c19:c20:c21 c20 :: c19:c20:c21 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c19:c20:c21 c21 :: c19:c20:c21 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c19:c20:c21 A__TIMES :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c24:c25:c26 c24 :: c19:c20:c21 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c24:c25:c26 a__times :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c25 :: c19:c20:c21 -> c24:c25:c26 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c24:c25:c26 c26 :: c19:c20:c21 -> c24:c25:c26 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c24:c25:c26 A__SQUARE :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c28:c29 c28 :: c24:c25:c26 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c28:c29 c29 :: c24:c25:c26 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c28:c29 from :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c31 :: c -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 2ndspos :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c32 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c33 :: c3:c4:c5:c6:c7 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 2ndsneg :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c34 :: c10:c11:c12:c13:c14 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c35 :: c10:c11:c12:c13:c14 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 pi :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c36 :: c16:c17 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 plus :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c37 :: c19:c20:c21 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c38 :: c19:c20:c21 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 times :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c39 :: c24:c25:c26 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c40 :: c24:c25:c26 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 square :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c41 :: c28:c29 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c43 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 posrecip :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c44 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 negrecip :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c45 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c47 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c48 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 rcons :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c50 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 c51 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 a__2ndspos :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark rnil :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark a__2ndsneg :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark a__pi :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark a__plus :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark a__square :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark nil :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__from :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__2ndspos :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__2ndsneg :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__pi :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__plus :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__times :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__square :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_mark :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark const :: c const1 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51 const2 :: c3:c4:c5:c6:c7 const3 :: c10:c11:c12:c13:c14 const4 :: c16:c17 const5 :: c19:c20:c21 const6 :: c24:c25:c26 const7 :: c28:c29 Rewrite Strategy: INNERMOST ---------------------------------------- (47) 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: a__from(v0) -> null_a__from [0] a__2ndspos(v0, v1) -> null_a__2ndspos [0] a__2ndsneg(v0, v1) -> null_a__2ndsneg [0] a__pi(v0) -> null_a__pi [0] a__plus(v0, v1) -> null_a__plus [0] a__times(v0, v1) -> null_a__times [0] a__square(v0) -> null_a__square [0] mark(v0) -> null_mark [0] A__2NDSPOS(v0, v1) -> null_A__2NDSPOS [0] A__2NDSNEG(v0, v1) -> null_A__2NDSNEG [0] A__PLUS(v0, v1) -> null_A__PLUS [0] A__TIMES(v0, v1) -> null_A__TIMES [0] MARK(v0) -> null_MARK [0] And the following fresh constants: null_a__from, null_a__2ndspos, null_a__2ndsneg, null_a__pi, null_a__plus, null_a__times, null_a__square, null_mark, null_A__2NDSPOS, null_A__2NDSNEG, null_A__PLUS, null_A__TIMES, null_MARK, const, const1, const2 ---------------------------------------- (48) 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(z0) -> c(MARK(z0)) [1] A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) [1] A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) [1] A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) [1] A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) [1] A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) [1] A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) [1] A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) [1] A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) [1] A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) [1] A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) [1] A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) [1] A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) [1] A__PLUS(0, z0) -> c19(MARK(z0)) [1] A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) [1] A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) [1] A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) [1] A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) [1] A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) [1] A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) [1] A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) [1] MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) [1] MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) [1] MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) [1] MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) [1] MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) [1] MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) [1] MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) [1] MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) [1] MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) [1] MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) [1] MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) [1] MARK(s(z0)) -> c43(MARK(z0)) [1] MARK(posrecip(z0)) -> c44(MARK(z0)) [1] MARK(negrecip(z0)) -> c45(MARK(z0)) [1] MARK(cons(z0, z1)) -> c47(MARK(z0)) [1] MARK(cons2(z0, z1)) -> c48(MARK(z1)) [1] MARK(rcons(z0, z1)) -> c50(MARK(z0)) [1] MARK(rcons(z0, z1)) -> c51(MARK(z1)) [1] a__from(z0) -> cons(mark(z0), from(s(z0))) [0] a__from(z0) -> from(z0) [0] a__2ndspos(0, z0) -> rnil [0] a__2ndspos(s(z0), cons(z1, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) [0] a__2ndspos(s(z0), cons2(z1, cons(z2, z3))) -> rcons(posrecip(mark(z2)), a__2ndsneg(mark(z0), mark(z3))) [0] a__2ndspos(z0, z1) -> 2ndspos(z0, z1) [0] a__2ndsneg(0, z0) -> rnil [0] a__2ndsneg(s(z0), cons(z1, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) [0] a__2ndsneg(s(z0), cons2(z1, cons(z2, z3))) -> rcons(negrecip(mark(z2)), a__2ndspos(mark(z0), mark(z3))) [0] a__2ndsneg(z0, z1) -> 2ndsneg(z0, z1) [0] a__pi(z0) -> a__2ndspos(mark(z0), a__from(0)) [0] a__pi(z0) -> pi(z0) [0] a__plus(0, z0) -> mark(z0) [0] a__plus(s(z0), z1) -> s(a__plus(mark(z0), mark(z1))) [0] a__plus(z0, z1) -> plus(z0, z1) [0] a__times(0, z0) -> 0 [0] a__times(s(z0), z1) -> a__plus(mark(z1), a__times(mark(z0), mark(z1))) [0] a__times(z0, z1) -> times(z0, z1) [0] a__square(z0) -> a__times(mark(z0), mark(z0)) [0] a__square(z0) -> square(z0) [0] mark(from(z0)) -> a__from(mark(z0)) [0] mark(2ndspos(z0, z1)) -> a__2ndspos(mark(z0), mark(z1)) [0] mark(2ndsneg(z0, z1)) -> a__2ndsneg(mark(z0), mark(z1)) [0] mark(pi(z0)) -> a__pi(mark(z0)) [0] mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) [0] mark(times(z0, z1)) -> a__times(mark(z0), mark(z1)) [0] mark(square(z0)) -> a__square(mark(z0)) [0] mark(0) -> 0 [0] mark(s(z0)) -> s(mark(z0)) [0] mark(posrecip(z0)) -> posrecip(mark(z0)) [0] mark(negrecip(z0)) -> negrecip(mark(z0)) [0] mark(nil) -> nil [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(cons2(z0, z1)) -> cons2(z0, mark(z1)) [0] mark(rnil) -> rnil [0] mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) [0] a__from(v0) -> null_a__from [0] a__2ndspos(v0, v1) -> null_a__2ndspos [0] a__2ndsneg(v0, v1) -> null_a__2ndsneg [0] a__pi(v0) -> null_a__pi [0] a__plus(v0, v1) -> null_a__plus [0] a__times(v0, v1) -> null_a__times [0] a__square(v0) -> null_a__square [0] mark(v0) -> null_mark [0] A__2NDSPOS(v0, v1) -> null_A__2NDSPOS [0] A__2NDSNEG(v0, v1) -> null_A__2NDSNEG [0] A__PLUS(v0, v1) -> null_A__PLUS [0] A__TIMES(v0, v1) -> null_A__TIMES [0] MARK(v0) -> null_MARK [0] The TRS has the following type information: A__FROM :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c c :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c MARK :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK A__2NDSPOS :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c3:c4:c5:c6:c7:null_A__2NDSPOS s :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark cons :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c3 :: c3:c4:c5:c6:c7:null_A__2NDSPOS -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c3:c4:c5:c6:c7:null_A__2NDSPOS mark :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark cons2 :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c4 :: c3:c4:c5:c6:c7:null_A__2NDSPOS -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c3:c4:c5:c6:c7:null_A__2NDSPOS c5 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c3:c4:c5:c6:c7:null_A__2NDSPOS c6 :: c10:c11:c12:c13:c14:null_A__2NDSNEG -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c3:c4:c5:c6:c7:null_A__2NDSPOS A__2NDSNEG :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c10:c11:c12:c13:c14:null_A__2NDSNEG c7 :: c10:c11:c12:c13:c14:null_A__2NDSNEG -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c3:c4:c5:c6:c7:null_A__2NDSPOS c10 :: c10:c11:c12:c13:c14:null_A__2NDSNEG -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c10:c11:c12:c13:c14:null_A__2NDSNEG c11 :: c10:c11:c12:c13:c14:null_A__2NDSNEG -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c10:c11:c12:c13:c14:null_A__2NDSNEG c12 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c10:c11:c12:c13:c14:null_A__2NDSNEG c13 :: c3:c4:c5:c6:c7:null_A__2NDSPOS -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c10:c11:c12:c13:c14:null_A__2NDSNEG c14 :: c3:c4:c5:c6:c7:null_A__2NDSPOS -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c10:c11:c12:c13:c14:null_A__2NDSNEG A__PI :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c16:c17 c16 :: c3:c4:c5:c6:c7:null_A__2NDSPOS -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c16:c17 a__from :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark 0 :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c17 :: c3:c4:c5:c6:c7:null_A__2NDSPOS -> c -> c16:c17 A__PLUS :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c19:c20:c21:null_A__PLUS c19 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c19:c20:c21:null_A__PLUS c20 :: c19:c20:c21:null_A__PLUS -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c19:c20:c21:null_A__PLUS c21 :: c19:c20:c21:null_A__PLUS -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c19:c20:c21:null_A__PLUS A__TIMES :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c24:c25:c26:null_A__TIMES c24 :: c19:c20:c21:null_A__PLUS -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c24:c25:c26:null_A__TIMES a__times :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c25 :: c19:c20:c21:null_A__PLUS -> c24:c25:c26:null_A__TIMES -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c24:c25:c26:null_A__TIMES c26 :: c19:c20:c21:null_A__PLUS -> c24:c25:c26:null_A__TIMES -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c24:c25:c26:null_A__TIMES A__SQUARE :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> c28:c29 c28 :: c24:c25:c26:null_A__TIMES -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c28:c29 c29 :: c24:c25:c26:null_A__TIMES -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c28:c29 from :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c31 :: c -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK 2ndspos :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c32 :: c3:c4:c5:c6:c7:null_A__2NDSPOS -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK c33 :: c3:c4:c5:c6:c7:null_A__2NDSPOS -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK 2ndsneg :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c34 :: c10:c11:c12:c13:c14:null_A__2NDSNEG -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK c35 :: c10:c11:c12:c13:c14:null_A__2NDSNEG -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK pi :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c36 :: c16:c17 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK plus :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c37 :: c19:c20:c21:null_A__PLUS -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK c38 :: c19:c20:c21:null_A__PLUS -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK times :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c39 :: c24:c25:c26:null_A__TIMES -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK c40 :: c24:c25:c26:null_A__TIMES -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK square :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c41 :: c28:c29 -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK c43 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK posrecip :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c44 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK negrecip :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c45 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK c47 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK c48 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK rcons :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark c50 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK c51 :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK -> c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK a__2ndspos :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark rnil :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark a__2ndsneg :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark a__pi :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark a__plus :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark a__square :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark -> s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark nil :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__from :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__2ndspos :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__2ndsneg :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__pi :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__plus :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__times :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_a__square :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_mark :: s:cons:cons2:0:from:2ndspos:2ndsneg:pi:plus:times:square:posrecip:negrecip:rcons:rnil:nil:null_a__from:null_a__2ndspos:null_a__2ndsneg:null_a__pi:null_a__plus:null_a__times:null_a__square:null_mark null_A__2NDSPOS :: c3:c4:c5:c6:c7:null_A__2NDSPOS null_A__2NDSNEG :: c10:c11:c12:c13:c14:null_A__2NDSNEG null_A__PLUS :: c19:c20:c21:null_A__PLUS null_A__TIMES :: c24:c25:c26:null_A__TIMES null_MARK :: c31:c32:c33:c34:c35:c36:c37:c38:c39:c40:c41:c43:c44:c45:c47:c48:c50:c51:null_MARK const :: c const1 :: c16:c17 const2 :: c28:c29 Rewrite Strategy: INNERMOST ---------------------------------------- (49) 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 null_a__from => 0 null_a__2ndspos => 0 null_a__2ndsneg => 0 null_a__pi => 0 null_a__plus => 0 null_a__times => 0 null_a__square => 0 null_mark => 0 null_A__2NDSPOS => 0 null_A__2NDSNEG => 0 null_A__PLUS => 0 null_A__TIMES => 0 null_MARK => 0 const => 0 const1 => 0 const2 => 0 ---------------------------------------- (50) Obligation: Complexity RNTS consisting of the following rules: A__2NDSNEG(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__2NDSNEG(z, z') -{ 1 }-> 1 + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + (1 + z2 + z3), z = 1 + z0, z0 >= 0, z2 >= 0, z3 >= 0 A__2NDSNEG(z, z') -{ 1 }-> 1 + A__2NDSPOS(mark(z0), mark(z3)) + MARK(z0) :|: z1 >= 0, z' = 1 + z1 + (1 + z2 + z3), z = 1 + z0, z0 >= 0, z2 >= 0, z3 >= 0 A__2NDSNEG(z, z') -{ 1 }-> 1 + A__2NDSPOS(mark(z0), mark(z3)) + MARK(z3) :|: z1 >= 0, z' = 1 + z1 + (1 + z2 + z3), z = 1 + z0, z0 >= 0, z2 >= 0, z3 >= 0 A__2NDSNEG(z, z') -{ 1 }-> 1 + A__2NDSNEG(1 + mark(z0), 1 + z1 + mark(z2)) + MARK(z0) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__2NDSNEG(z, z') -{ 1 }-> 1 + A__2NDSNEG(1 + mark(z0), 1 + z1 + mark(z2)) + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__2NDSPOS(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__2NDSPOS(z, z') -{ 1 }-> 1 + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + (1 + z2 + z3), z = 1 + z0, z0 >= 0, z2 >= 0, z3 >= 0 A__2NDSPOS(z, z') -{ 1 }-> 1 + A__2NDSPOS(1 + mark(z0), 1 + z1 + mark(z2)) + MARK(z0) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__2NDSPOS(z, z') -{ 1 }-> 1 + A__2NDSPOS(1 + mark(z0), 1 + z1 + mark(z2)) + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__2NDSPOS(z, z') -{ 1 }-> 1 + A__2NDSNEG(mark(z0), mark(z3)) + MARK(z0) :|: z1 >= 0, z' = 1 + z1 + (1 + z2 + z3), z = 1 + z0, z0 >= 0, z2 >= 0, z3 >= 0 A__2NDSPOS(z, z') -{ 1 }-> 1 + A__2NDSNEG(mark(z0), mark(z3)) + MARK(z3) :|: z1 >= 0, z' = 1 + z1 + (1 + z2 + z3), z = 1 + z0, z0 >= 0, z2 >= 0, z3 >= 0 A__FROM(z) -{ 1 }-> 1 + MARK(z0) :|: z = z0, z0 >= 0 A__PI(z) -{ 1 }-> 1 + A__2NDSPOS(mark(z0), a__from(0)) + MARK(z0) :|: z = z0, z0 >= 0 A__PI(z) -{ 1 }-> 1 + A__2NDSPOS(mark(z0), a__from(0)) + A__FROM(0) :|: z = z0, z0 >= 0 A__PLUS(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__PLUS(z, z') -{ 1 }-> 1 + MARK(z0) :|: z0 >= 0, z = 0, z' = z0 A__PLUS(z, z') -{ 1 }-> 1 + A__PLUS(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 A__PLUS(z, z') -{ 1 }-> 1 + A__PLUS(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 A__SQUARE(z) -{ 1 }-> 1 + A__TIMES(mark(z0), mark(z0)) + MARK(z0) :|: z = z0, z0 >= 0 A__TIMES(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__TIMES(z, z') -{ 1 }-> 1 + A__PLUS(mark(z1), a__times(mark(z0), mark(z1))) + MARK(z1) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 A__TIMES(z, z') -{ 1 }-> 1 + A__PLUS(mark(z1), a__times(mark(z0), mark(z1))) + A__TIMES(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 A__TIMES(z, z') -{ 1 }-> 1 + A__PLUS(mark(z1), a__times(mark(z0), mark(z1))) + A__TIMES(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 MARK(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__TIMES(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__TIMES(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SQUARE(mark(z0)) + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__PLUS(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__PLUS(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__PI(mark(z0)) + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__FROM(mark(z0)) + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__2NDSPOS(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__2NDSPOS(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__2NDSNEG(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__2NDSNEG(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__2ndsneg(z, z') -{ 0 }-> a__2ndsneg(1 + mark(z0), 1 + z1 + mark(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 a__2ndsneg(z, z') -{ 0 }-> 2 :|: z0 >= 0, z = 0, z' = z0 a__2ndsneg(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__2ndsneg(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__2ndsneg(z, z') -{ 0 }-> 1 + (1 + mark(z2)) + a__2ndspos(mark(z0), mark(z3)) :|: z1 >= 0, z' = 1 + z1 + (1 + z2 + z3), z = 1 + z0, z0 >= 0, z2 >= 0, z3 >= 0 a__2ndspos(z, z') -{ 0 }-> a__2ndspos(1 + mark(z0), 1 + z1 + mark(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 a__2ndspos(z, z') -{ 0 }-> 2 :|: z0 >= 0, z = 0, z' = z0 a__2ndspos(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__2ndspos(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__2ndspos(z, z') -{ 0 }-> 1 + (1 + mark(z2)) + a__2ndsneg(mark(z0), mark(z3)) :|: z1 >= 0, z' = 1 + z1 + (1 + z2 + z3), z = 1 + z0, z0 >= 0, z2 >= 0, z3 >= 0 a__from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__from(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__from(z) -{ 0 }-> 1 + mark(z0) + (1 + (1 + z0)) :|: z = z0, z0 >= 0 a__pi(z) -{ 0 }-> a__2ndspos(mark(z0), a__from(0)) :|: z = z0, z0 >= 0 a__pi(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__pi(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__plus(z, z') -{ 0 }-> mark(z0) :|: z0 >= 0, z = 0, z' = z0 a__plus(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__plus(z, z') -{ 0 }-> 1 + a__plus(mark(z0), mark(z1)) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 a__plus(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__square(z) -{ 0 }-> a__times(mark(z0), mark(z0)) :|: z = z0, z0 >= 0 a__square(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__square(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__times(z, z') -{ 0 }-> a__plus(mark(z1), a__times(mark(z0), mark(z1))) :|: z1 >= 0, z = 1 + z0, z' = z1, z0 >= 0 a__times(z, z') -{ 0 }-> 0 :|: z0 >= 0, z = 0, z' = z0 a__times(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__times(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 mark(z) -{ 0 }-> a__times(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__square(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__plus(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__pi(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__from(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__2ndspos(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__2ndsneg(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 2 :|: z = 2 mark(z) -{ 0 }-> 1 :|: z = 1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 1 + mark(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 + mark(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 1 + mark(z0) + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 1 + mark(z0) + mark(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (51) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(z0), cons(z1, z2)) -> c3(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) by A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(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, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, 0)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, nil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, rnil)), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), 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, c4_2, c5_1, c6_2, c7_2, c10_2, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2 ---------------------------------------- (53) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 11 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(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, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) 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, c4_2, c5_1, c6_2, c7_2, c10_2, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1 ---------------------------------------- (55) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(z0), cons(z1, z2)) -> c4(A__2NDSPOS(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) by A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, 0)), MARK(0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, nil)) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, nil)), MARK(nil)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, rnil)), MARK(rnil)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, 0)), MARK(0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, nil)) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, nil)), MARK(nil)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, rnil)), MARK(rnil)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, 0)), MARK(0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, nil)) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, nil)), MARK(nil)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, rnil)), MARK(rnil)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) 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, c5_1, c6_2, c7_2, c10_2, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2 ---------------------------------------- (57) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(x0), cons(x1, rnil)) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, rnil)), MARK(rnil)) A__2NDSPOS(s(x0), cons(x1, 0)) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, 0)), MARK(0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, nil)), MARK(nil)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) 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, c5_1, c6_2, c7_2, c10_2, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2 ---------------------------------------- (59) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> 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, c5_1, c6_2, c7_2, c10_2, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1 ---------------------------------------- (61) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c6(A__2NDSNEG(mark(z0), mark(z3)), MARK(z0)) by A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(A__2NDSNEG(mark(x0), 0), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(A__2NDSNEG(mark(x0), nil), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(A__2NDSNEG(mark(x0), rnil), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(0, mark(x3)), MARK(0)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(nil, mark(x3)), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(cons2(z0, mark(z1)), mark(x3)), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(rnil, mark(x3)), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(A__2NDSNEG(mark(x0), 0), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(A__2NDSNEG(mark(x0), nil), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(A__2NDSNEG(mark(x0), rnil), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(0, mark(x3)), MARK(0)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(nil, mark(x3)), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(cons2(z0, mark(z1)), mark(x3)), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(rnil, mark(x3)), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(A__2NDSNEG(mark(x0), 0), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(A__2NDSNEG(mark(x0), nil), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(A__2NDSNEG(mark(x0), rnil), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(0, mark(x3)), MARK(0)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(nil, mark(x3)), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(cons2(z0, mark(z1)), mark(x3)), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(rnil, mark(x3)), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(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, c5_1, c7_2, c10_2, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2 ---------------------------------------- (63) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(nil, mark(x3)), MARK(nil)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(rnil, mark(x3)), MARK(rnil)) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(0, mark(x3)), MARK(0)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(A__2NDSNEG(mark(x0), 0), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(A__2NDSNEG(mark(x0), nil), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(A__2NDSNEG(mark(x0), rnil), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(cons2(z0, mark(z1)), mark(x3)), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(A__2NDSNEG(mark(x0), 0), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(A__2NDSNEG(mark(x0), nil), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(A__2NDSNEG(mark(x0), rnil), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(cons2(z0, mark(z1)), mark(x3)), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(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, c5_1, c7_2, c10_2, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2 ---------------------------------------- (65) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 12 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(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, c5_1, c7_2, c10_2, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1 ---------------------------------------- (67) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c7(A__2NDSNEG(mark(z0), mark(z3)), MARK(z3)) by A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c7(A__2NDSNEG(mark(x0), 0), MARK(0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c7(A__2NDSNEG(mark(x0), nil), MARK(nil)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c7(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(0, mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(nil, mark(x3)), MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(cons2(z0, mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(rnil, mark(x3)), MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c7(A__2NDSNEG(mark(x0), 0), MARK(0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c7(A__2NDSNEG(mark(x0), nil), MARK(nil)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c7(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(0, mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(nil, mark(x3)), MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(cons2(z0, mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(rnil, mark(x3)), MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c7(A__2NDSNEG(mark(x0), 0), MARK(0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c7(A__2NDSNEG(mark(x0), nil), MARK(nil)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c7(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(0, mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(nil, mark(x3)), MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(cons2(z0, mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(rnil, mark(x3)), MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(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, c5_1, c10_2, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2 ---------------------------------------- (69) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c7(A__2NDSNEG(mark(x0), nil), MARK(nil)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c7(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c7(A__2NDSNEG(mark(x0), 0), MARK(0)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(0, mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(nil, mark(x3)), MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(cons2(z0, mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(rnil, mark(x3)), MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(0, mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(nil, mark(x3)), MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(cons2(z0, mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(rnil, mark(x3)), MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(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, c5_1, c10_2, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2 ---------------------------------------- (71) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 12 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(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, c5_1, c10_2, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1 ---------------------------------------- (73) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSNEG(s(z0), cons(z1, z2)) -> c10(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z0)) by A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, 0)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, nil)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, rnil)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(0)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(nil)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(rnil)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, 0)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, nil)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, rnil)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(0)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(nil)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(rnil)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, 0)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, nil)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, rnil)), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(0)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(nil)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(rnil)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), 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, c5_1, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2 ---------------------------------------- (75) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 11 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) 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, c5_1, c11_2, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1 ---------------------------------------- (77) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSNEG(s(z0), cons(z1, z2)) -> c11(A__2NDSNEG(s(mark(z0)), cons2(z1, mark(z2))), MARK(z2)) by A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, 0)), MARK(0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, nil)) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, nil)), MARK(nil)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, rnil)), MARK(rnil)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, 0)), MARK(0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, nil)) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, nil)), MARK(nil)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, rnil)), MARK(rnil)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, 0)), MARK(0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, nil)) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, nil)), MARK(nil)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, rnil)), MARK(rnil)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) 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, c5_1, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2 ---------------------------------------- (79) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSNEG(s(x0), cons(x1, nil)) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, nil)), MARK(nil)) A__2NDSNEG(s(x0), cons(x1, 0)) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, 0)), MARK(0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, rnil)), MARK(rnil)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, s(mark(z0)))), MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, posrecip(mark(z0)))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, negrecip(mark(z0)))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, rcons(mark(z0), mark(z1)))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) 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, c5_1, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2 ---------------------------------------- (81) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 5 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(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, c5_1, c12_1, c13_2, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1 ---------------------------------------- (83) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c13(A__2NDSPOS(mark(z0), mark(z3)), MARK(z0)) by A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(A__2NDSPOS(mark(x0), 0), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(A__2NDSPOS(mark(x0), nil), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(A__2NDSPOS(mark(x0), rnil), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(0, mark(x3)), MARK(0)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(nil, mark(x3)), MARK(nil)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(cons2(z0, mark(z1)), mark(x3)), MARK(cons2(z0, z1))) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(rnil, mark(x3)), MARK(rnil)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(A__2NDSPOS(mark(x0), 0), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(A__2NDSPOS(mark(x0), nil), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(A__2NDSPOS(mark(x0), rnil), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(0, mark(x3)), MARK(0)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(nil, mark(x3)), MARK(nil)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(cons2(z0, mark(z1)), mark(x3)), MARK(cons2(z0, z1))) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(rnil, mark(x3)), MARK(rnil)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(A__2NDSPOS(mark(x0), 0), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(A__2NDSPOS(mark(x0), nil), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(A__2NDSPOS(mark(x0), rnil), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(0, mark(x3)), MARK(0)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(nil, mark(x3)), MARK(nil)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(cons2(z0, mark(z1)), mark(x3)), MARK(cons2(z0, z1))) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(rnil, mark(x3)), MARK(rnil)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(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, c5_1, c12_1, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2 ---------------------------------------- (85) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(nil, mark(x3)), MARK(nil)) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(0, mark(x3)), MARK(0)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(rnil, mark(x3)), 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(A__2NDSPOS(mark(x0), 0), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(A__2NDSPOS(mark(x0), nil), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(A__2NDSPOS(mark(x0), rnil), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(cons2(z0, mark(z1)), mark(x3)), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(A__2NDSPOS(mark(x0), 0), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(A__2NDSPOS(mark(x0), nil), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(A__2NDSPOS(mark(x0), rnil), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(cons2(z0, mark(z1)), mark(x3)), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(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, c5_1, c12_1, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2 ---------------------------------------- (87) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 12 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(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, c5_1, c12_1, c14_2, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1 ---------------------------------------- (89) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c14(A__2NDSPOS(mark(z0), mark(z3)), MARK(z3)) by A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c14(A__2NDSPOS(mark(x0), 0), MARK(0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c14(A__2NDSPOS(mark(x0), nil), MARK(nil)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c14(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(0, mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(nil, mark(x3)), MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(cons2(z0, mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(rnil, mark(x3)), MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c14(A__2NDSPOS(mark(x0), 0), MARK(0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c14(A__2NDSPOS(mark(x0), nil), MARK(nil)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c14(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(0, mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(nil, mark(x3)), MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(cons2(z0, mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(rnil, mark(x3)), MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c14(A__2NDSPOS(mark(x0), 0), MARK(0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c14(A__2NDSPOS(mark(x0), nil), MARK(nil)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c14(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(0, mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(nil, mark(x3)), MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(cons2(z0, mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(rnil, mark(x3)), MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(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, c5_1, c12_1, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2 ---------------------------------------- (91) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c14(A__2NDSPOS(mark(x0), nil), MARK(nil)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c14(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c14(A__2NDSPOS(mark(x0), 0), MARK(0)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(0, mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(nil, mark(x3)), MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(cons2(z0, mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(rnil, mark(x3)), MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x3)), MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(0, mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(posrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(negrecip(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(nil, mark(x3)), MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(cons(mark(z0), z1), mark(x3)), MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(cons2(z0, mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(rnil, mark(x3)), MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(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, c5_1, c12_1, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2 ---------------------------------------- (93) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 12 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(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, c5_1, c12_1, c16_2, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1 ---------------------------------------- (95) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__PI(z0) -> c16(A__2NDSPOS(mark(z0), a__from(0)), MARK(z0)) by A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), from(0)), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(0) -> c16(A__2NDSPOS(0, a__from(0)), MARK(0)) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(posrecip(z0)) -> c16(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), MARK(negrecip(z0))) A__PI(nil) -> c16(A__2NDSPOS(nil, a__from(0)), MARK(nil)) A__PI(cons(z0, z1)) -> c16(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(A__2NDSPOS(cons2(z0, mark(z1)), a__from(0)), MARK(cons2(z0, z1))) A__PI(rnil) -> c16(A__2NDSPOS(rnil, a__from(0)), MARK(rnil)) A__PI(rcons(z0, z1)) -> c16(A__2NDSPOS(rcons(mark(z0), mark(z1)), a__from(0)), 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), from(0)), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(0) -> c16(A__2NDSPOS(0, a__from(0)), MARK(0)) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(posrecip(z0)) -> c16(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), MARK(negrecip(z0))) A__PI(nil) -> c16(A__2NDSPOS(nil, a__from(0)), MARK(nil)) A__PI(cons(z0, z1)) -> c16(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(A__2NDSPOS(cons2(z0, mark(z1)), a__from(0)), MARK(cons2(z0, z1))) A__PI(rnil) -> c16(A__2NDSPOS(rnil, a__from(0)), MARK(rnil)) A__PI(rcons(z0, z1)) -> c16(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), from(0)), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(0) -> c16(A__2NDSPOS(0, a__from(0)), MARK(0)) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(posrecip(z0)) -> c16(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), MARK(negrecip(z0))) A__PI(nil) -> c16(A__2NDSPOS(nil, a__from(0)), MARK(nil)) A__PI(cons(z0, z1)) -> c16(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(A__2NDSPOS(cons2(z0, mark(z1)), a__from(0)), MARK(cons2(z0, z1))) A__PI(rnil) -> c16(A__2NDSPOS(rnil, a__from(0)), MARK(rnil)) A__PI(rcons(z0, z1)) -> c16(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, c5_1, c12_1, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2 ---------------------------------------- (97) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__PI(nil) -> c16(A__2NDSPOS(nil, a__from(0)), MARK(nil)) A__PI(rnil) -> c16(A__2NDSPOS(rnil, a__from(0)), MARK(rnil)) A__PI(0) -> c16(A__2NDSPOS(0, a__from(0)), MARK(0)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), from(0)), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(posrecip(z0)) -> c16(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(A__2NDSPOS(cons2(z0, mark(z1)), a__from(0)), MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), from(0)), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(posrecip(z0)) -> c16(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(A__2NDSPOS(cons2(z0, mark(z1)), a__from(0)), MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(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, c5_1, c12_1, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2 ---------------------------------------- (99) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> 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__PI_1, A__PLUS_2, A__TIMES_2, A__SQUARE_1, MARK_1 Compound Symbols: c_1, c5_1, c12_1, c17_2, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1 ---------------------------------------- (101) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__PI(z0) -> c17(A__2NDSPOS(mark(z0), a__from(0)), A__FROM(0)) by A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), from(0)), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(0) -> c17(A__2NDSPOS(0, a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), A__FROM(0)) A__PI(nil) -> c17(A__2NDSPOS(nil, a__from(0)), A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__2NDSPOS(cons2(z0, mark(z1)), a__from(0)), A__FROM(0)) A__PI(rnil) -> c17(A__2NDSPOS(rnil, a__from(0)), A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__2NDSPOS(rcons(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), from(0)), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(0) -> c17(A__2NDSPOS(0, a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), A__FROM(0)) A__PI(nil) -> c17(A__2NDSPOS(nil, a__from(0)), A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__2NDSPOS(cons2(z0, mark(z1)), a__from(0)), A__FROM(0)) A__PI(rnil) -> c17(A__2NDSPOS(rnil, a__from(0)), A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), from(0)), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(0) -> c17(A__2NDSPOS(0, a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__2NDSPOS(posrecip(mark(z0)), a__from(0)), A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__2NDSPOS(negrecip(mark(z0)), a__from(0)), A__FROM(0)) A__PI(nil) -> c17(A__2NDSPOS(nil, a__from(0)), A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__2NDSPOS(cons(mark(z0), z1), a__from(0)), A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__2NDSPOS(cons2(z0, mark(z1)), a__from(0)), A__FROM(0)) A__PI(rnil) -> c17(A__2NDSPOS(rnil, a__from(0)), A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(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, c5_1, c12_1, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2 ---------------------------------------- (103) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 9 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(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, c5_1, c12_1, c19_1, c20_2, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1 ---------------------------------------- (105) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__PLUS(s(z0), z1) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z0)) by A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1)), MARK(0)) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(posrecip(z0)), x1) -> c20(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) A__PLUS(s(nil), x1) -> c20(A__PLUS(nil, mark(x1)), MARK(nil)) A__PLUS(s(cons(z0, z1)), x1) -> c20(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) A__PLUS(s(rnil), x1) -> c20(A__PLUS(rnil, mark(x1)), MARK(rnil)) A__PLUS(s(rcons(z0, z1)), x1) -> c20(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1)), MARK(0)) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(posrecip(z0)), x1) -> c20(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) A__PLUS(s(nil), x1) -> c20(A__PLUS(nil, mark(x1)), MARK(nil)) A__PLUS(s(cons(z0, z1)), x1) -> c20(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) A__PLUS(s(rnil), x1) -> c20(A__PLUS(rnil, mark(x1)), MARK(rnil)) A__PLUS(s(rcons(z0, z1)), x1) -> c20(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1)), MARK(0)) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(posrecip(z0)), x1) -> c20(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) A__PLUS(s(nil), x1) -> c20(A__PLUS(nil, mark(x1)), MARK(nil)) A__PLUS(s(cons(z0, z1)), x1) -> c20(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) A__PLUS(s(rnil), x1) -> c20(A__PLUS(rnil, mark(x1)), MARK(rnil)) A__PLUS(s(rcons(z0, z1)), x1) -> c20(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, c5_1, c12_1, c19_1, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2 ---------------------------------------- (107) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__PLUS(s(rnil), x1) -> c20(A__PLUS(rnil, mark(x1)), MARK(rnil)) A__PLUS(s(nil), x1) -> c20(A__PLUS(nil, mark(x1)), MARK(nil)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1)), MARK(0)) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(posrecip(z0)), x1) -> c20(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1)), MARK(0)) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(posrecip(z0)), x1) -> c20(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(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, c5_1, c12_1, c19_1, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2 ---------------------------------------- (109) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> 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, c5_1, c12_1, c19_1, c21_2, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1 ---------------------------------------- (111) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__PLUS(s(z0), z1) -> c21(A__PLUS(mark(z0), mark(z1)), MARK(z1)) by A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0), MARK(0)) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil), MARK(nil)) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil), MARK(rnil)) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(posrecip(z0)), x1) -> c21(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(nil), x1) -> c21(A__PLUS(nil, mark(x1)), MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(rnil), x1) -> c21(A__PLUS(rnil, mark(x1)), MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0), MARK(0)) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil), MARK(nil)) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil), MARK(rnil)) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(posrecip(z0)), x1) -> c21(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(nil), x1) -> c21(A__PLUS(nil, mark(x1)), MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(rnil), x1) -> c21(A__PLUS(rnil, mark(x1)), MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0), MARK(0)) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil), MARK(nil)) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil), MARK(rnil)) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(posrecip(z0)), x1) -> c21(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(nil), x1) -> c21(A__PLUS(nil, mark(x1)), MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(rnil), x1) -> c21(A__PLUS(rnil, mark(x1)), MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(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, c5_1, c12_1, c19_1, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2 ---------------------------------------- (113) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 10 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(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, c5_1, c12_1, c19_1, c24_2, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1 ---------------------------------------- (115) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__TIMES(s(z0), z1) -> c24(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), MARK(z1)) by A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0))), MARK(0)) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(nil, a__times(mark(x0), mark(nil))), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(cons2(z0, mark(z1)), a__times(mark(x0), mark(cons2(z0, z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c24(A__PLUS(rcons(mark(z0), mark(z1)), a__times(mark(x0), mark(rcons(z0, z1)))), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> 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mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> 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A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) 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c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0))), MARK(0)) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(nil, a__times(mark(x0), mark(nil))), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(cons2(z0, mark(z1)), a__times(mark(x0), mark(cons2(z0, z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0))), MARK(0)) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(nil, a__times(mark(x0), mark(nil))), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(cons2(z0, mark(z1)), a__times(mark(x0), mark(cons2(z0, z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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, c5_1, c12_1, c19_1, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2 ---------------------------------------- (117) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__TIMES(s(x0), nil) -> c24(A__PLUS(nil, a__times(mark(x0), mark(nil))), MARK(nil)) A__TIMES(s(x0), rnil) -> c24(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), MARK(rnil)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0))), MARK(0)) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(cons2(z0, mark(z1)), a__times(mark(x0), mark(cons2(z0, z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0))), MARK(0)) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(posrecip(mark(z0)), a__times(mark(x0), mark(posrecip(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(negrecip(mark(z0)), a__times(mark(x0), mark(negrecip(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(cons(mark(z0), z1), a__times(mark(x0), mark(cons(z0, z1)))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(cons2(z0, mark(z1)), a__times(mark(x0), mark(cons2(z0, z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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, c5_1, c12_1, c19_1, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2 ---------------------------------------- (119) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 9 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), 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c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), 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__TIMES_2, A__SQUARE_1, MARK_1, A__PI_1 Compound Symbols: c_1, c5_1, c12_1, c19_1, c25_3, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1 ---------------------------------------- (121) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__TIMES(s(z0), z1) -> c25(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z0)) by A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(0)) A__TIMES(s(s(z0)), x1) -> c25(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) -> c25(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) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(nil)) A__TIMES(s(cons(z0, z1)), x1) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(rnil)) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(nil, a__times(mark(x0), mark(nil))), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(cons2(z0, mark(z1)), a__times(mark(x0), mark(cons2(z0, z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> 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a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(0)) A__TIMES(s(s(z0)), x1) -> c25(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) -> c25(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) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(nil)) A__TIMES(s(cons(z0, z1)), x1) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(rnil)) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(nil, a__times(mark(x0), mark(nil))), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(cons2(z0, mark(z1)), a__times(mark(x0), mark(cons2(z0, z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, 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c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(0)) A__TIMES(s(s(z0)), x1) -> c25(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) -> c25(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) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(nil)) A__TIMES(s(cons(z0, z1)), x1) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(rnil)) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(nil, a__times(mark(x0), mark(nil))), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(cons2(z0, mark(z1)), a__times(mark(x0), mark(cons2(z0, z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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, c5_1, c12_1, c19_1, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3 ---------------------------------------- (123) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 10 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> 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mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> 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A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) 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c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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, c5_1, c12_1, c19_1, c26_3, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2 ---------------------------------------- (125) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__TIMES(s(z0), z1) -> c26(A__PLUS(mark(z1), a__times(mark(z0), mark(z1))), A__TIMES(mark(z0), mark(z1)), MARK(z1)) by A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(nil, a__times(mark(x0), mark(nil))), A__TIMES(mark(x0), mark(nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(cons2(z0, mark(z1)), a__times(mark(x0), mark(cons2(z0, z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), A__TIMES(mark(x0), mark(rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(nil, a__times(mark(x0), mark(nil))), A__TIMES(mark(x0), mark(nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(cons2(z0, mark(z1)), a__times(mark(x0), mark(cons2(z0, z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), A__TIMES(mark(x0), mark(rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> 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c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, 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MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(0)) A__TIMES(s(x0), s(z0)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(nil, a__times(mark(x0), mark(nil))), A__TIMES(mark(x0), mark(nil)), MARK(nil)) A__TIMES(s(x0), cons(z0, z1)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(cons2(z0, mark(z1)), a__times(mark(x0), mark(cons2(z0, z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(rnil, a__times(mark(x0), mark(rnil))), A__TIMES(mark(x0), mark(rnil)), MARK(rnil)) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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, c5_1, c12_1, c19_1, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3 ---------------------------------------- (127) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 13 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> 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A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> 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a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) 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cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) 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c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, 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c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), 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z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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, c5_1, c12_1, c19_1, c28_2, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1 ---------------------------------------- (129) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SQUARE(z0) -> c28(A__TIMES(mark(z0), mark(z0)), MARK(z0)) by A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(0) -> c28(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c28(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(cons2(z0, mark(z1)), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c28(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(rcons(mark(z0), mark(z1)), mark(rcons(z0, z1))), 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(0) -> c28(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c28(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(cons2(z0, mark(z1)), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c28(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c28(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> 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negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(0) -> c28(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c28(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(cons2(z0, mark(z1)), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c28(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c28(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, c5_1, c12_1, c19_1, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2 ---------------------------------------- (131) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SQUARE(0) -> c28(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(nil) -> c28(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(rnil) -> c28(A__TIMES(rnil, mark(rnil)), 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(cons2(z0, mark(z1)), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, 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MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) 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mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(cons2(z0, mark(z1)), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(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, c5_1, c12_1, c19_1, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2 ---------------------------------------- (133) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 8 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> 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, A__SQUARE_1, MARK_1, A__PI_1, A__TIMES_2 Compound Symbols: c_1, c5_1, c12_1, c19_1, c29_2, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1 ---------------------------------------- (135) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SQUARE(z0) -> c29(A__TIMES(mark(z0), mark(z0)), MARK(z0)) by A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(0) -> c29(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c29(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(cons2(z0, mark(z1)), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c29(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(rcons(mark(z0), mark(z1)), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(0) -> c29(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c29(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(cons2(z0, mark(z1)), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c29(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c29(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> 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MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(0) -> c29(A__TIMES(0, mark(0)), MARK(0)) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c29(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(cons2(z0, mark(z1)), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c29(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c29(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, c5_1, c12_1, c19_1, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2 ---------------------------------------- (137) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SQUARE(nil) -> c29(A__TIMES(nil, mark(nil)), MARK(nil)) A__SQUARE(rnil) -> c29(A__TIMES(rnil, mark(rnil)), MARK(rnil)) A__SQUARE(0) -> c29(A__TIMES(0, mark(0)), MARK(0)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(cons2(z0, mark(z1)), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0), MARK(0)) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil), MARK(nil)) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil), MARK(rnil)) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(posrecip(mark(z0)), mark(posrecip(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(negrecip(mark(z0)), mark(negrecip(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(cons(mark(z0), z1), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(cons2(z0, mark(z1)), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(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, c5_1, c12_1, c19_1, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2 ---------------------------------------- (139) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 8 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(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, c5_1, c12_1, c19_1, c31_2, c32_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1 ---------------------------------------- (141) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(2ndspos(z0, z1)) -> c32(A__2NDSPOS(mark(z0), mark(z1)), MARK(z0)) by MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 0)) -> c32(A__2NDSPOS(mark(x0), 0), MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(A__2NDSPOS(mark(x0), nil), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(A__2NDSPOS(mark(x0), rnil), MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(0, x1)) -> c32(A__2NDSPOS(0, mark(x1)), MARK(0)) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(posrecip(z0), x1)) -> c32(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndspos(nil, x1)) -> c32(A__2NDSPOS(nil, mark(x1)), MARK(nil)) MARK(2ndspos(cons(z0, z1), x1)) -> c32(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(A__2NDSPOS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(2ndspos(rnil, x1)) -> c32(A__2NDSPOS(rnil, mark(x1)), MARK(rnil)) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 0)) -> c32(A__2NDSPOS(mark(x0), 0), MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(A__2NDSPOS(mark(x0), nil), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(A__2NDSPOS(mark(x0), rnil), MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(0, x1)) -> c32(A__2NDSPOS(0, mark(x1)), MARK(0)) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(posrecip(z0), x1)) -> c32(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndspos(nil, x1)) -> c32(A__2NDSPOS(nil, mark(x1)), MARK(nil)) MARK(2ndspos(cons(z0, z1), x1)) -> c32(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(A__2NDSPOS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(2ndspos(rnil, x1)) -> c32(A__2NDSPOS(rnil, mark(x1)), MARK(rnil)) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 0)) -> c32(A__2NDSPOS(mark(x0), 0), MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(A__2NDSPOS(mark(x0), nil), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(A__2NDSPOS(mark(x0), rnil), MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(0, x1)) -> c32(A__2NDSPOS(0, mark(x1)), MARK(0)) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(posrecip(z0), x1)) -> c32(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndspos(nil, x1)) -> c32(A__2NDSPOS(nil, mark(x1)), MARK(nil)) MARK(2ndspos(cons(z0, z1), x1)) -> c32(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(A__2NDSPOS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(2ndspos(rnil, x1)) -> c32(A__2NDSPOS(rnil, mark(x1)), MARK(rnil)) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(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, c5_1, c12_1, c19_1, c31_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2 ---------------------------------------- (143) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(2ndspos(0, x1)) -> c32(A__2NDSPOS(0, mark(x1)), MARK(0)) MARK(2ndspos(nil, x1)) -> c32(A__2NDSPOS(nil, mark(x1)), MARK(nil)) MARK(2ndspos(rnil, x1)) -> c32(A__2NDSPOS(rnil, mark(x1)), MARK(rnil)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 0)) -> c32(A__2NDSPOS(mark(x0), 0), MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(A__2NDSPOS(mark(x0), nil), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(A__2NDSPOS(mark(x0), rnil), MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(posrecip(z0), x1)) -> c32(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(A__2NDSPOS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> 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c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), 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c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 0)) -> c32(A__2NDSPOS(mark(x0), 0), MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(A__2NDSPOS(mark(x0), nil), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(A__2NDSPOS(mark(x0), rnil), MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(posrecip(z0), x1)) -> c32(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(A__2NDSPOS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(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, c5_1, c12_1, c19_1, c31_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2 ---------------------------------------- (145) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 12 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), 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MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(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, c5_1, c12_1, c19_1, c31_2, c33_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1 ---------------------------------------- (147) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(2ndspos(z0, z1)) -> c33(A__2NDSPOS(mark(z0), mark(z1)), MARK(z1)) by MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, 0)) -> c33(A__2NDSPOS(mark(x0), 0), MARK(0)) MARK(2ndspos(x0, s(z0))) -> c33(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndspos(x0, nil)) -> c33(A__2NDSPOS(mark(x0), nil), MARK(nil)) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(x0, rnil)) -> c33(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(0, x1)) -> c33(A__2NDSPOS(0, mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(A__2NDSPOS(nil, mark(x1)), MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(A__2NDSPOS(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(A__2NDSPOS(rnil, mark(x1)), MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> 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A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, 0)) -> c33(A__2NDSPOS(mark(x0), 0), MARK(0)) MARK(2ndspos(x0, s(z0))) -> c33(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndspos(x0, nil)) -> c33(A__2NDSPOS(mark(x0), nil), MARK(nil)) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(x0, rnil)) -> c33(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(0, x1)) -> c33(A__2NDSPOS(0, mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(A__2NDSPOS(nil, mark(x1)), MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(A__2NDSPOS(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(A__2NDSPOS(rnil, mark(x1)), MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 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cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) 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cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, 0)) -> c33(A__2NDSPOS(mark(x0), 0), MARK(0)) MARK(2ndspos(x0, s(z0))) -> c33(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndspos(x0, nil)) -> c33(A__2NDSPOS(mark(x0), nil), MARK(nil)) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(x0, rnil)) -> c33(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(0, x1)) -> c33(A__2NDSPOS(0, mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(A__2NDSPOS(nil, mark(x1)), MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(A__2NDSPOS(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(A__2NDSPOS(rnil, mark(x1)), MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(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, c5_1, c12_1, c19_1, c31_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2 ---------------------------------------- (149) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(2ndspos(x0, rnil)) -> c33(A__2NDSPOS(mark(x0), rnil), MARK(rnil)) MARK(2ndspos(x0, nil)) -> c33(A__2NDSPOS(mark(x0), nil), MARK(nil)) MARK(2ndspos(x0, 0)) -> c33(A__2NDSPOS(mark(x0), 0), MARK(0)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), 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z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, s(z0))) -> c33(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(0, x1)) -> c33(A__2NDSPOS(0, mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(A__2NDSPOS(nil, mark(x1)), MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(A__2NDSPOS(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(A__2NDSPOS(rnil, mark(x1)), MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(A__2NDSPOS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> 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a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, s(z0))) -> c33(A__2NDSPOS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(A__2NDSPOS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(A__2NDSPOS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(0, x1)) -> c33(A__2NDSPOS(0, mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(A__2NDSPOS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(A__2NDSPOS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(A__2NDSPOS(nil, mark(x1)), MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(A__2NDSPOS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(A__2NDSPOS(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(A__2NDSPOS(rnil, mark(x1)), MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(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, c5_1, c12_1, c19_1, c31_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2 ---------------------------------------- (151) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 12 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), 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c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(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, c5_1, c12_1, c19_1, c31_2, c34_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1 ---------------------------------------- (153) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(2ndsneg(z0, z1)) -> c34(A__2NDSNEG(mark(z0), mark(z1)), MARK(z0)) by MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 0)) -> c34(A__2NDSNEG(mark(x0), 0), MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(A__2NDSNEG(mark(x0), nil), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(A__2NDSNEG(mark(x0), rnil), MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(0, x1)) -> c34(A__2NDSNEG(0, mark(x1)), MARK(0)) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(posrecip(z0), x1)) -> c34(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndsneg(nil, x1)) -> c34(A__2NDSNEG(nil, mark(x1)), MARK(nil)) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(A__2NDSNEG(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(2ndsneg(rnil, x1)) -> c34(A__2NDSNEG(rnil, mark(x1)), MARK(rnil)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 0)) -> c34(A__2NDSNEG(mark(x0), 0), MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(A__2NDSNEG(mark(x0), nil), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(A__2NDSNEG(mark(x0), rnil), MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(0, x1)) -> c34(A__2NDSNEG(0, mark(x1)), MARK(0)) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(posrecip(z0), x1)) -> c34(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndsneg(nil, x1)) -> c34(A__2NDSNEG(nil, mark(x1)), MARK(nil)) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(A__2NDSNEG(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(2ndsneg(rnil, x1)) -> c34(A__2NDSNEG(rnil, mark(x1)), MARK(rnil)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 0)) -> c34(A__2NDSNEG(mark(x0), 0), MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(A__2NDSNEG(mark(x0), nil), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(A__2NDSNEG(mark(x0), rnil), MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(0, x1)) -> c34(A__2NDSNEG(0, mark(x1)), MARK(0)) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(posrecip(z0), x1)) -> c34(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndsneg(nil, x1)) -> c34(A__2NDSNEG(nil, mark(x1)), MARK(nil)) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(A__2NDSNEG(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(2ndsneg(rnil, x1)) -> c34(A__2NDSNEG(rnil, mark(x1)), MARK(rnil)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(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, c5_1, c12_1, c19_1, c31_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2 ---------------------------------------- (155) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(2ndsneg(nil, x1)) -> c34(A__2NDSNEG(nil, mark(x1)), MARK(nil)) MARK(2ndsneg(rnil, x1)) -> c34(A__2NDSNEG(rnil, mark(x1)), MARK(rnil)) MARK(2ndsneg(0, x1)) -> c34(A__2NDSNEG(0, mark(x1)), MARK(0)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 0)) -> c34(A__2NDSNEG(mark(x0), 0), MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(A__2NDSNEG(mark(x0), nil), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(A__2NDSNEG(mark(x0), rnil), MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(posrecip(z0), x1)) -> c34(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(A__2NDSNEG(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 0)) -> c34(A__2NDSNEG(mark(x0), 0), MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(A__2NDSNEG(mark(x0), nil), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(A__2NDSNEG(mark(x0), rnil), MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(posrecip(z0), x1)) -> c34(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(A__2NDSNEG(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(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, c5_1, c12_1, c19_1, c31_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2 ---------------------------------------- (157) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 12 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> 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s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) 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c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), 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c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(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, c5_1, c12_1, c19_1, c31_2, c35_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1 ---------------------------------------- (159) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(2ndsneg(z0, z1)) -> c35(A__2NDSNEG(mark(z0), mark(z1)), MARK(z1)) by MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, 0)) -> c35(A__2NDSNEG(mark(x0), 0), MARK(0)) MARK(2ndsneg(x0, s(z0))) -> c35(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndsneg(x0, nil)) -> c35(A__2NDSNEG(mark(x0), nil), MARK(nil)) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(x0, rnil)) -> c35(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(0, x1)) -> c35(A__2NDSNEG(0, mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(A__2NDSNEG(nil, mark(x1)), MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(A__2NDSNEG(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(A__2NDSNEG(rnil, mark(x1)), MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, 0)) -> c35(A__2NDSNEG(mark(x0), 0), MARK(0)) MARK(2ndsneg(x0, s(z0))) -> c35(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndsneg(x0, nil)) -> c35(A__2NDSNEG(mark(x0), nil), MARK(nil)) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(x0, rnil)) -> c35(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(0, x1)) -> c35(A__2NDSNEG(0, mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(A__2NDSNEG(nil, mark(x1)), MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(A__2NDSNEG(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(A__2NDSNEG(rnil, mark(x1)), MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> 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c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), 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c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, 0)) -> c35(A__2NDSNEG(mark(x0), 0), MARK(0)) MARK(2ndsneg(x0, s(z0))) -> c35(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndsneg(x0, nil)) -> c35(A__2NDSNEG(mark(x0), nil), MARK(nil)) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(x0, rnil)) -> c35(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(0, x1)) -> c35(A__2NDSNEG(0, mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(A__2NDSNEG(nil, mark(x1)), MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(A__2NDSNEG(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(A__2NDSNEG(rnil, mark(x1)), MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(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, c5_1, c12_1, c19_1, c31_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2 ---------------------------------------- (161) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(2ndsneg(x0, 0)) -> c35(A__2NDSNEG(mark(x0), 0), MARK(0)) MARK(2ndsneg(x0, rnil)) -> c35(A__2NDSNEG(mark(x0), rnil), MARK(rnil)) MARK(2ndsneg(x0, nil)) -> c35(A__2NDSNEG(mark(x0), nil), MARK(nil)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, s(z0))) -> c35(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(0, x1)) -> c35(A__2NDSNEG(0, mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(A__2NDSNEG(nil, mark(x1)), MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(A__2NDSNEG(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(A__2NDSNEG(rnil, mark(x1)), MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(A__2NDSNEG(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, s(z0))) -> c35(A__2NDSNEG(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(A__2NDSNEG(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(A__2NDSNEG(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(0, x1)) -> c35(A__2NDSNEG(0, mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(A__2NDSNEG(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(A__2NDSNEG(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(A__2NDSNEG(nil, mark(x1)), MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(A__2NDSNEG(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(A__2NDSNEG(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(A__2NDSNEG(rnil, mark(x1)), MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(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, c5_1, c12_1, c19_1, c31_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2 ---------------------------------------- (163) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 12 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> 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a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(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, c5_1, c12_1, c19_1, c31_2, c36_2, c37_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1 ---------------------------------------- (165) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(plus(z0, z1)) -> c37(A__PLUS(mark(z0), mark(z1)), MARK(z0)) by MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1)), MARK(0)) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(posrecip(z0), x1)) -> c37(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(plus(nil, x1)) -> c37(A__PLUS(nil, mark(x1)), MARK(nil)) MARK(plus(cons(z0, z1), x1)) -> c37(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(plus(rnil, x1)) -> c37(A__PLUS(rnil, mark(x1)), MARK(rnil)) MARK(plus(rcons(z0, z1), x1)) -> c37(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) 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cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1)), MARK(0)) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(posrecip(z0), x1)) -> c37(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(plus(nil, x1)) -> c37(A__PLUS(nil, mark(x1)), MARK(nil)) MARK(plus(cons(z0, z1), x1)) -> c37(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(plus(rnil, x1)) -> c37(A__PLUS(rnil, mark(x1)), MARK(rnil)) MARK(plus(rcons(z0, z1), x1)) -> c37(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1)), MARK(0)) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(posrecip(z0), x1)) -> c37(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(plus(nil, x1)) -> c37(A__PLUS(nil, mark(x1)), MARK(nil)) MARK(plus(cons(z0, z1), x1)) -> c37(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(plus(rnil, x1)) -> c37(A__PLUS(rnil, mark(x1)), MARK(rnil)) MARK(plus(rcons(z0, z1), x1)) -> c37(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, c5_1, c12_1, c19_1, c31_2, c36_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2 ---------------------------------------- (167) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(plus(nil, x1)) -> c37(A__PLUS(nil, mark(x1)), MARK(nil)) MARK(plus(rnil, x1)) -> c37(A__PLUS(rnil, mark(x1)), MARK(rnil)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) 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mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1)), MARK(0)) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(posrecip(z0), x1)) -> c37(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1)), MARK(0)) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(posrecip(z0), x1)) -> c37(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(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, c5_1, c12_1, c19_1, c31_2, c36_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2 ---------------------------------------- (169) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> 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A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> 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a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) 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cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(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, c5_1, c12_1, c19_1, c31_2, c36_2, c38_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1 ---------------------------------------- (171) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(plus(z0, z1)) -> c38(A__PLUS(mark(z0), mark(z1)), MARK(z1)) by MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0), MARK(0)) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil), MARK(nil)) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil), MARK(rnil)) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(posrecip(z0), x1)) -> c38(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(nil, x1)) -> c38(A__PLUS(nil, mark(x1)), MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(plus(rnil, x1)) -> c38(A__PLUS(rnil, mark(x1)), MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> 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MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0), MARK(0)) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil), MARK(nil)) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil), MARK(rnil)) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(posrecip(z0), x1)) -> c38(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(nil, x1)) -> c38(A__PLUS(nil, mark(x1)), MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(plus(rnil, x1)) -> c38(A__PLUS(rnil, mark(x1)), MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(A__PLUS(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0), MARK(0)) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil), MARK(nil)) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil), MARK(rnil)) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(posrecip(z0), x1)) -> c38(A__PLUS(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(A__PLUS(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(nil, x1)) -> c38(A__PLUS(nil, mark(x1)), MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(A__PLUS(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(A__PLUS(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(plus(rnil, x1)) -> c38(A__PLUS(rnil, mark(x1)), MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(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, c5_1, c12_1, c19_1, c31_2, c36_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2 ---------------------------------------- (173) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 10 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) 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c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, 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c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), 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z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(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, c5_1, c12_1, c19_1, c31_2, c36_2, c39_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1 ---------------------------------------- (175) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(times(z0, z1)) -> c39(A__TIMES(mark(z0), mark(z1)), MARK(z0)) by MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(0, x1)) -> c39(A__TIMES(0, mark(x1)), MARK(0)) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(times(nil, x1)) -> c39(A__TIMES(nil, mark(x1)), MARK(nil)) MARK(times(cons(z0, z1), x1)) -> c39(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(A__TIMES(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(times(rnil, x1)) -> c39(A__TIMES(rnil, mark(x1)), MARK(rnil)) MARK(times(rcons(z0, z1), x1)) -> c39(A__TIMES(rcons(mark(z0), mark(z1)), mark(x1)), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) 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c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) 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MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> 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c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, 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cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(0, x1)) -> c39(A__TIMES(0, mark(x1)), MARK(0)) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(times(nil, x1)) -> c39(A__TIMES(nil, mark(x1)), MARK(nil)) MARK(times(cons(z0, z1), x1)) -> c39(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(A__TIMES(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(times(rnil, x1)) -> c39(A__TIMES(rnil, mark(x1)), MARK(rnil)) MARK(times(rcons(z0, z1), x1)) -> c39(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> 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A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) 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mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(0, x1)) -> c39(A__TIMES(0, mark(x1)), MARK(0)) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(times(nil, x1)) -> c39(A__TIMES(nil, mark(x1)), MARK(nil)) MARK(times(cons(z0, z1), x1)) -> c39(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(A__TIMES(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(times(rnil, x1)) -> c39(A__TIMES(rnil, mark(x1)), MARK(rnil)) MARK(times(rcons(z0, z1), x1)) -> c39(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, c5_1, c12_1, c19_1, c31_2, c36_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2 ---------------------------------------- (177) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(times(nil, x1)) -> c39(A__TIMES(nil, mark(x1)), MARK(nil)) MARK(times(rnil, x1)) -> c39(A__TIMES(rnil, mark(x1)), MARK(rnil)) MARK(times(0, x1)) -> c39(A__TIMES(0, mark(x1)), MARK(0)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(A__TIMES(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(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), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, 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c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(A__TIMES(cons2(z0, mark(z1)), mark(x1)), MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(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, c5_1, c12_1, c19_1, c31_2, c36_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2 ---------------------------------------- (179) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(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, c5_1, c12_1, c19_1, c31_2, c36_2, c40_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1 ---------------------------------------- (181) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(times(z0, z1)) -> c40(A__TIMES(mark(z0), mark(z1)), MARK(z1)) by MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0), MARK(0)) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil), MARK(nil)) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil), MARK(rnil)) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(0, x1)) -> c40(A__TIMES(0, mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(times(nil, x1)) -> c40(A__TIMES(nil, mark(x1)), MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(A__TIMES(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(times(rnil, x1)) -> c40(A__TIMES(rnil, mark(x1)), MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(A__TIMES(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0), MARK(0)) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil), MARK(nil)) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil), MARK(rnil)) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(0, x1)) -> c40(A__TIMES(0, mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(times(nil, x1)) -> c40(A__TIMES(nil, mark(x1)), MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(A__TIMES(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(times(rnil, x1)) -> c40(A__TIMES(rnil, mark(x1)), MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(A__TIMES(rcons(mark(z0), mark(z1)), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0), MARK(0)) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil), MARK(nil)) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil), MARK(rnil)) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(0, x1)) -> c40(A__TIMES(0, mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(A__TIMES(posrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(A__TIMES(negrecip(mark(z0)), mark(x1)), MARK(x1)) MARK(times(nil, x1)) -> c40(A__TIMES(nil, mark(x1)), MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(A__TIMES(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(A__TIMES(cons2(z0, mark(z1)), mark(x1)), MARK(x1)) MARK(times(rnil, x1)) -> c40(A__TIMES(rnil, mark(x1)), MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(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, c5_1, c12_1, c19_1, c31_2, c36_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2 ---------------------------------------- (183) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 11 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(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, c5_1, c12_1, c19_1, c31_2, c36_2, c41_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1 ---------------------------------------- (185) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(square(z0)) -> c41(A__SQUARE(mark(z0)), MARK(z0)) by MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(0)) -> c41(A__SQUARE(0), MARK(0)) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(nil)) -> c41(A__SQUARE(nil), MARK(nil)) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rnil)) -> c41(A__SQUARE(rnil), MARK(rnil)) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> 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c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), 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MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(0)) -> c41(A__SQUARE(0), MARK(0)) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(nil)) -> c41(A__SQUARE(nil), MARK(nil)) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rnil)) -> c41(A__SQUARE(rnil), MARK(rnil)) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> 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c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> 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2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(0)) -> c41(A__SQUARE(0), MARK(0)) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(nil)) -> c41(A__SQUARE(nil), MARK(nil)) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rnil)) -> c41(A__SQUARE(rnil), MARK(rnil)) MARK(square(rcons(z0, z1))) -> c41(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, c5_1, c12_1, c19_1, c31_2, c36_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1, c41_2 ---------------------------------------- (187) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), 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times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> 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mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), 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rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> 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MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(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, c5_1, c12_1, c19_1, c31_2, c36_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1, c41_2, c41_1 ---------------------------------------- (189) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, from(mark(x2)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), 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c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, from(mark(x2)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> 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A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> 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a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) 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cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) 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MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, from(mark(x2)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), 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, c5_1, c12_1, c19_1, c31_2, c36_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1, c41_2, c41_1 ---------------------------------------- (191) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, 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MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) 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mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, 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a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) 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, c5_1, c12_1, c19_1, c31_2, c36_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1, c41_2, c41_1 ---------------------------------------- (193) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, 2ndspos(mark(x2), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) 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a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), 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MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, 2ndspos(mark(x2), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) 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c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, 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c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), 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z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), 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mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), 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c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, 2ndspos(mark(x2), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), 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, c5_1, c12_1, c19_1, c31_2, c36_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1, c41_2, c41_1 ---------------------------------------- (195) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), 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a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), 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__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c5_1, c12_1, c19_1, c31_2, c36_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1, c41_2, c41_1 ---------------------------------------- (197) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, 2ndsneg(mark(x2), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> 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mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> 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A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) 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c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) 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MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> 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c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, 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cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, 2ndsneg(mark(x2), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, 2ndsneg(mark(x2), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), 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, c5_1, c12_1, c19_1, c31_2, c36_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1, c41_2, c41_1 ---------------------------------------- (199) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> 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A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> 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a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) 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cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) 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MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), 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__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c5_1, c12_1, c19_1, c31_2, c36_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1, c41_2, c41_1 ---------------------------------------- (201) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(mark(x2)), a__from(0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, pi(mark(x2)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__pi(mark(x2)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__pi(mark(x2)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__pi(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__pi(mark(x2)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(rcons(z0, z1))) ---------------------------------------- (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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) 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c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, 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c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), 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z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), 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mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), 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c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(mark(x2)), a__from(0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, pi(mark(x2)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__pi(mark(x2)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__pi(mark(x2)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__pi(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__pi(mark(x2)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(mark(x2)), a__from(0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, pi(mark(x2)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__pi(mark(x2)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__pi(mark(x2)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__pi(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__pi(mark(x2)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), 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, c5_1, c12_1, c19_1, c31_2, c36_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1, c41_2, c41_1 ---------------------------------------- (203) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (204) 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> 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A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(mark(x2)), a__from(0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__pi(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__pi(mark(x2))))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) 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a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> 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a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c38(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c38(A__PLUS(mark(x0), 0)) MARK(plus(x0, nil)) -> c38(A__PLUS(mark(x0), nil)) MARK(plus(x0, rnil)) -> c38(A__PLUS(mark(x0), rnil)) MARK(plus(posrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(negrecip(z0), x1)) -> c38(MARK(x1)) MARK(plus(nil, x1)) -> c38(MARK(x1)) MARK(plus(cons(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(cons2(z0, z1), x1)) -> c38(MARK(x1)) MARK(plus(rnil, x1)) -> c38(MARK(x1)) MARK(plus(rcons(z0, z1), x1)) -> c38(MARK(x1)) MARK(times(x0, from(z0))) -> c39(A__TIMES(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(times(x0, 2ndspos(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, 2ndsneg(z0, z1))) -> c39(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, pi(z0))) -> c39(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(times(x0, plus(z0, z1))) -> c39(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, times(z0, z1))) -> c39(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(times(x0, square(z0))) -> c39(A__TIMES(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(times(x0, 0)) -> c39(A__TIMES(mark(x0), 0), MARK(x0)) MARK(times(x0, s(z0))) -> c39(A__TIMES(mark(x0), s(mark(z0))), MARK(x0)) MARK(times(x0, posrecip(z0))) -> c39(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(times(x0, negrecip(z0))) -> c39(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(times(x0, nil)) -> c39(A__TIMES(mark(x0), nil), MARK(x0)) MARK(times(x0, cons(z0, z1))) -> c39(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(times(x0, cons2(z0, z1))) -> c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(mark(x2)), a__from(0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__pi(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__pi(mark(x2))))) 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, c5_1, c12_1, c19_1, c31_2, c36_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1, c41_2, c41_1 ---------------------------------------- (205) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) by A__2NDSPOS(s(x0), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, plus(mark(x2), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) ---------------------------------------- (206) 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> 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c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(mark(x2)), a__from(0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__pi(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, plus(mark(x2), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndsneg(x0, cons(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndsneg(x0, cons2(z0, z1))) -> c35(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndsneg(from(z0), x1)) -> c35(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c35(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(pi(z0), x1)) -> c35(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(plus(z0, z1), x1)) -> c35(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(times(z0, z1), x1)) -> c35(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndsneg(square(z0), x1)) -> c35(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(s(z0), x1)) -> c35(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndsneg(x0, s(z0))) -> c35(MARK(s(z0))) MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, times(z0, z1))) -> c37(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, square(z0))) -> c37(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c37(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(x0, s(z0))) -> c37(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, posrecip(z0))) -> c37(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) MARK(plus(x0, negrecip(z0))) -> c37(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) MARK(plus(x0, nil)) -> c37(A__PLUS(mark(x0), nil), MARK(x0)) MARK(plus(x0, cons(z0, z1))) -> c37(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(plus(x0, cons2(z0, z1))) -> c37(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(plus(x0, rnil)) -> c37(A__PLUS(mark(x0), rnil), MARK(x0)) MARK(plus(x0, rcons(z0, z1))) -> c37(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(plus(from(z0), x1)) -> c37(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(plus(2ndspos(z0, z1), x1)) -> c37(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(plus(2ndsneg(z0, z1), x1)) -> c37(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(plus(pi(z0), x1)) -> c37(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(plus(plus(z0, z1), x1)) -> c37(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(times(z0, z1), x1)) -> c37(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(plus(square(z0), x1)) -> c37(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(plus(s(z0), x1)) -> c37(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c37(A__PLUS(0, mark(x1))) MARK(plus(posrecip(z0), x1)) -> c37(MARK(posrecip(z0))) MARK(plus(negrecip(z0), x1)) -> c37(MARK(negrecip(z0))) MARK(plus(cons(z0, z1), x1)) -> c37(MARK(cons(z0, z1))) MARK(plus(cons2(z0, z1), x1)) -> c37(MARK(cons2(z0, z1))) MARK(plus(rcons(z0, z1), x1)) -> c37(MARK(rcons(z0, z1))) MARK(plus(x0, from(z0))) -> c38(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(plus(x0, 2ndspos(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(plus(x0, 2ndsneg(z0, z1))) -> c38(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(plus(x0, pi(z0))) -> c38(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(plus(x0, plus(z0, z1))) -> c38(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, times(z0, z1))) -> c38(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(plus(x0, square(z0))) -> c38(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(plus(x0, s(z0))) -> c38(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, posrecip(z0))) -> c38(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(plus(x0, negrecip(z0))) -> c38(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(plus(x0, cons(z0, z1))) -> c38(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(plus(x0, cons2(z0, z1))) -> c38(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(plus(x0, rcons(z0, z1))) -> c38(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(plus(from(z0), x1)) -> c38(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(2ndspos(z0, z1), x1)) -> c38(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(2ndsneg(z0, z1), x1)) -> c38(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(pi(z0), x1)) -> c38(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c38(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(times(z0, z1), x1)) -> c38(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(square(z0), x1)) -> c38(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c38(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(s(z0), 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c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(mark(x2)), a__from(0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__pi(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, plus(mark(x2), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(0), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(0)) A__2NDSPOS(s(s(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(nil), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(nil)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rnil), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(rnil)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), 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, c5_1, c12_1, c19_1, c31_2, c36_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1, c41_2, c41_1 ---------------------------------------- (207) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (208) 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, z2)) -> a__2ndspos(s(mark(z0)), cons2(z1, mark(z2))) a__2ndspos(s(z0), cons2(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, z2)) -> a__2ndsneg(s(mark(z0)), cons2(z1, mark(z2))) a__2ndsneg(s(z0), cons2(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(cons2(z0, z1)) -> cons2(z0, mark(z1)) mark(rnil) -> rnil mark(rcons(z0, z1)) -> rcons(mark(z0), mark(z1)) Tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) 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c39(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(times(x0, rnil)) -> c39(A__TIMES(mark(x0), rnil), MARK(x0)) MARK(times(x0, rcons(z0, z1))) -> c39(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) MARK(times(from(z0), x1)) -> c39(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(times(2ndspos(z0, z1), x1)) -> c39(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(times(2ndsneg(z0, z1), x1)) -> c39(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(times(pi(z0), x1)) -> c39(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(times(plus(z0, z1), x1)) -> c39(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(times(times(z0, z1), x1)) -> c39(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(times(square(z0), x1)) -> c39(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(times(s(z0), x1)) -> c39(A__TIMES(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(times(posrecip(z0), x1)) -> c39(MARK(posrecip(z0))) MARK(times(negrecip(z0), x1)) -> c39(MARK(negrecip(z0))) MARK(times(cons(z0, z1), x1)) -> c39(MARK(cons(z0, z1))) MARK(times(cons2(z0, z1), x1)) -> c39(MARK(cons2(z0, z1))) MARK(times(rcons(z0, z1), x1)) -> c39(MARK(rcons(z0, z1))) MARK(times(x0, from(z0))) -> c40(A__TIMES(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(times(x0, 2ndspos(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(times(x0, 2ndsneg(z0, z1))) -> c40(A__TIMES(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(times(x0, pi(z0))) -> c40(A__TIMES(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(times(x0, plus(z0, z1))) -> c40(A__TIMES(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(times(x0, times(z0, z1))) -> c40(A__TIMES(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(times(x0, square(z0))) -> c40(A__TIMES(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(times(x0, s(z0))) -> c40(A__TIMES(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(times(x0, posrecip(z0))) -> c40(A__TIMES(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) MARK(times(x0, negrecip(z0))) -> c40(A__TIMES(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) MARK(times(x0, cons(z0, z1))) -> c40(A__TIMES(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(times(x0, cons2(z0, z1))) -> c40(A__TIMES(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(times(x0, rcons(z0, z1))) -> c40(A__TIMES(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(times(from(z0), x1)) -> c40(A__TIMES(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(times(2ndspos(z0, z1), x1)) -> c40(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(2ndsneg(z0, z1), x1)) -> c40(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(pi(z0), x1)) -> c40(A__TIMES(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(times(plus(z0, z1), x1)) -> c40(A__TIMES(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(times(z0, z1), x1)) -> c40(A__TIMES(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(times(square(z0), x1)) -> c40(A__TIMES(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(times(s(z0), x1)) -> c40(A__TIMES(s(mark(z0)), mark(x1)), MARK(x1)) MARK(times(x0, 0)) -> c40(A__TIMES(mark(x0), 0)) MARK(times(x0, nil)) -> c40(A__TIMES(mark(x0), nil)) MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(mark(x2)), a__from(0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__pi(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, plus(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, plus(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__plus(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__plus(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__plus(mark(x2), mark(x3))))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__2NDSPOS(s(z0), cons2(z1, cons(z2, z3))) -> c5(MARK(z2)) A__2NDSNEG(s(z0), cons2(z1, cons(z2, z3))) -> c12(MARK(z2)) A__PLUS(0, z0) -> c19(MARK(z0)) MARK(from(z0)) -> c31(A__FROM(mark(z0)), MARK(z0)) MARK(pi(z0)) -> c36(A__PI(mark(z0)), MARK(z0)) MARK(s(z0)) -> c43(MARK(z0)) MARK(posrecip(z0)) -> c44(MARK(z0)) MARK(negrecip(z0)) -> c45(MARK(z0)) MARK(cons(z0, z1)) -> c47(MARK(z0)) MARK(cons2(z0, z1)) -> c48(MARK(z1)) MARK(rcons(z0, z1)) -> c50(MARK(z0)) MARK(rcons(z0, z1)) -> c51(MARK(z1)) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 0)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, nil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rnil)) -> c3(MARK(x0)) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, x2)) -> c3(A__2NDSPOS(s(0), cons2(x1, mark(x2)))) A__2NDSPOS(s(nil), cons(x1, x2)) -> c3(A__2NDSPOS(s(nil), cons2(x1, mark(x2)))) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c3(A__2NDSPOS(s(rnil), cons2(x1, mark(x2)))) A__2NDSPOS(s(x0), cons(x1, from(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons(x1, plus(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons(x1, times(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons(x1, square(z0))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSPOS(s(x0), cons(x1, cons(z0, z1))) -> c4(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSPOS(s(from(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(pi(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(plus(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(times(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(square(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(0), cons(x1, x2)) -> c4(A__2NDSPOS(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(s(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(posrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(negrecip(z0)), cons(x1, x2)) -> c4(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(nil), cons(x1, x2)) -> c4(A__2NDSPOS(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rnil), cons(x1, x2)) -> c4(A__2NDSPOS(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, x2)) -> c4(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSPOS(s(x0), cons(x1, s(z0))) -> c4(MARK(s(z0))) A__2NDSPOS(s(x0), cons(x1, posrecip(z0))) -> c4(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons(x1, negrecip(z0))) -> c4(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons(x1, cons2(z0, z1))) -> c4(MARK(cons2(z0, z1))) A__2NDSPOS(s(x0), cons(x1, rcons(z0, z1))) -> c4(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c6(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c6(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c6(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c6(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c6(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 0))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, nil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rnil))) -> c6(MARK(x0)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c6(MARK(x0)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c6(MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c6(MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, from(z0)))) -> c7(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c7(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, square(z0)))) -> c7(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c7(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSPOS(s(from(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSPOS(s(square(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(s(z0)), cons2(x1, cons(x2, x3))) -> c7(A__2NDSNEG(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSPOS(s(x0), cons2(x1, cons(x2, s(z0)))) -> c7(MARK(s(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c7(MARK(posrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c7(MARK(negrecip(z0))) A__2NDSPOS(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c7(MARK(rcons(z0, z1))) A__2NDSPOS(s(0), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(nil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rnil), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSPOS(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c7(MARK(x3)) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c10(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(s(z0))) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c10(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c10(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 0)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, nil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rnil)) -> c10(MARK(x0)) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c10(MARK(x0)) A__2NDSNEG(s(0), cons(x1, x2)) -> c10(A__2NDSNEG(s(0), cons2(x1, mark(x2)))) A__2NDSNEG(s(nil), cons(x1, x2)) -> c10(A__2NDSNEG(s(nil), cons2(x1, mark(x2)))) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c10(A__2NDSNEG(s(rnil), cons2(x1, mark(x2)))) A__2NDSNEG(s(x0), cons(x1, from(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__from(mark(z0)))), MARK(from(z0))) A__2NDSNEG(s(x0), cons(x1, 2ndspos(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndspos(mark(z0), mark(z1)))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons(x1, 2ndsneg(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__2ndsneg(mark(z0), mark(z1)))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons(x1, pi(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__pi(mark(z0)))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons(x1, plus(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__plus(mark(z0), mark(z1)))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons(x1, times(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__times(mark(z0), mark(z1)))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons(x1, square(z0))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, a__square(mark(z0)))), MARK(square(z0))) A__2NDSNEG(s(x0), cons(x1, cons(z0, z1))) -> c11(A__2NDSNEG(s(mark(x0)), cons2(x1, cons(mark(z0), z1))), MARK(cons(z0, z1))) A__2NDSNEG(s(from(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__from(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndspos(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(pi(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__pi(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(plus(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__plus(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(times(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__times(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(square(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(a__square(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(0), cons(x1, x2)) -> c11(A__2NDSNEG(s(0), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(s(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(s(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(posrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(posrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(negrecip(z0)), cons(x1, x2)) -> c11(A__2NDSNEG(s(negrecip(mark(z0))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(nil), cons(x1, x2)) -> c11(A__2NDSNEG(s(nil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons(mark(z0), z1)), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(cons2(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(cons2(z0, mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rnil), cons(x1, x2)) -> c11(A__2NDSNEG(s(rnil), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(rcons(z0, z1)), cons(x1, x2)) -> c11(A__2NDSNEG(s(rcons(mark(z0), mark(z1))), cons2(x1, mark(x2))), MARK(x2)) A__2NDSNEG(s(x0), cons(x1, s(z0))) -> c11(MARK(s(z0))) A__2NDSNEG(s(x0), cons(x1, posrecip(z0))) -> c11(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons(x1, negrecip(z0))) -> c11(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons(x1, cons2(z0, z1))) -> c11(MARK(cons2(z0, z1))) A__2NDSNEG(s(x0), cons(x1, rcons(z0, z1))) -> c11(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c13(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c13(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c13(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c13(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(from(z0))) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(pi(z0))) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(plus(z0, z1))) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(times(z0, z1))) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(square(z0))) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c13(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 0))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, nil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rnil))) -> c13(MARK(x0)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c13(MARK(x0)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(posrecip(z0))) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c13(MARK(negrecip(z0))) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons(z0, z1))) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(cons2(z0, z1))) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c13(MARK(rcons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, from(z0)))) -> c14(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndspos(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, 2ndsneg(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, pi(z0)))) -> c14(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, plus(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, times(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, square(z0)))) -> c14(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, cons2(z0, z1)))) -> c14(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__2NDSNEG(s(from(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__from(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndspos(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(2ndsneg(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(pi(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__pi(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(plus(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(times(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x3)), MARK(x3)) A__2NDSNEG(s(square(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(a__square(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(s(z0)), cons2(x1, cons(x2, x3))) -> c14(A__2NDSPOS(s(mark(z0)), mark(x3)), MARK(x3)) A__2NDSNEG(s(x0), cons2(x1, cons(x2, s(z0)))) -> c14(MARK(s(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, posrecip(z0)))) -> c14(MARK(posrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, negrecip(z0)))) -> c14(MARK(negrecip(z0))) A__2NDSNEG(s(x0), cons2(x1, cons(x2, rcons(z0, z1)))) -> c14(MARK(rcons(z0, z1))) A__2NDSNEG(s(0), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(posrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(negrecip(z0)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(nil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(cons2(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rnil), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__2NDSNEG(s(rcons(z0, z1)), cons2(x1, cons(x2, x3))) -> c14(MARK(x3)) A__PI(x0) -> c16(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), MARK(x0)) A__PI(from(z0)) -> c16(A__2NDSPOS(a__from(mark(z0)), a__from(0)), MARK(from(z0))) A__PI(2ndspos(z0, z1)) -> c16(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), MARK(2ndspos(z0, z1))) A__PI(2ndsneg(z0, z1)) -> c16(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), MARK(2ndsneg(z0, z1))) A__PI(pi(z0)) -> c16(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), MARK(pi(z0))) A__PI(plus(z0, z1)) -> c16(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), MARK(plus(z0, z1))) A__PI(times(z0, z1)) -> c16(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), MARK(times(z0, z1))) A__PI(square(z0)) -> c16(A__2NDSPOS(a__square(mark(z0)), a__from(0)), MARK(square(z0))) A__PI(s(z0)) -> c16(A__2NDSPOS(s(mark(z0)), a__from(0)), MARK(s(z0))) A__PI(x0) -> c16(MARK(x0)) A__PI(posrecip(z0)) -> c16(MARK(posrecip(z0))) A__PI(negrecip(z0)) -> c16(MARK(negrecip(z0))) A__PI(cons(z0, z1)) -> c16(MARK(cons(z0, z1))) A__PI(cons2(z0, z1)) -> c16(MARK(cons2(z0, z1))) A__PI(rcons(z0, z1)) -> c16(MARK(rcons(z0, z1))) A__PI(x0) -> c17(A__2NDSPOS(mark(x0), cons(mark(0), from(s(0)))), A__FROM(0)) A__PI(from(z0)) -> c17(A__2NDSPOS(a__from(mark(z0)), a__from(0)), A__FROM(0)) A__PI(2ndspos(z0, z1)) -> c17(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(2ndsneg(z0, z1)) -> c17(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(pi(z0)) -> c17(A__2NDSPOS(a__pi(mark(z0)), a__from(0)), A__FROM(0)) A__PI(plus(z0, z1)) -> c17(A__2NDSPOS(a__plus(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(times(z0, z1)) -> c17(A__2NDSPOS(a__times(mark(z0), mark(z1)), a__from(0)), A__FROM(0)) A__PI(square(z0)) -> c17(A__2NDSPOS(a__square(mark(z0)), a__from(0)), A__FROM(0)) A__PI(s(z0)) -> c17(A__2NDSPOS(s(mark(z0)), a__from(0)), A__FROM(0)) A__PI(x0) -> c17(A__FROM(0)) A__PI(0) -> c17(A__FROM(0)) A__PI(posrecip(z0)) -> c17(A__FROM(0)) A__PI(negrecip(z0)) -> c17(A__FROM(0)) A__PI(nil) -> c17(A__FROM(0)) A__PI(cons(z0, z1)) -> c17(A__FROM(0)) A__PI(cons2(z0, z1)) -> c17(A__FROM(0)) A__PI(rnil) -> c17(A__FROM(0)) A__PI(rcons(z0, z1)) -> c17(A__FROM(0)) A__PLUS(s(x0), from(z0)) -> c20(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c20(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), pi(z0)) -> c20(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) A__PLUS(s(x0), plus(z0, z1)) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), times(z0, z1)) -> c20(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(x0), square(z0)) -> c20(A__PLUS(mark(x0), a__square(mark(z0))), MARK(x0)) A__PLUS(s(x0), 0) -> c20(A__PLUS(mark(x0), 0), MARK(x0)) A__PLUS(s(x0), s(z0)) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) A__PLUS(s(x0), posrecip(z0)) -> c20(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), negrecip(z0)) -> c20(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(x0)) A__PLUS(s(x0), nil) -> c20(A__PLUS(mark(x0), nil), MARK(x0)) A__PLUS(s(x0), cons(z0, z1)) -> c20(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__PLUS(s(x0), cons2(z0, z1)) -> c20(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) A__PLUS(s(x0), rnil) -> c20(A__PLUS(mark(x0), rnil), MARK(x0)) A__PLUS(s(x0), rcons(z0, z1)) -> c20(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(x0)) A__PLUS(s(from(z0)), x1) -> c20(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) A__PLUS(s(2ndspos(z0, z1)), x1) -> c20(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c20(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) A__PLUS(s(pi(z0)), x1) -> c20(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) A__PLUS(s(plus(z0, z1)), x1) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) A__PLUS(s(times(z0, z1)), x1) -> c20(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) A__PLUS(s(square(z0)), x1) -> c20(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) A__PLUS(s(s(z0)), x1) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) A__PLUS(s(0), x1) -> c20(A__PLUS(0, mark(x1))) A__PLUS(s(posrecip(z0)), x1) -> c20(MARK(posrecip(z0))) A__PLUS(s(negrecip(z0)), x1) -> c20(MARK(negrecip(z0))) A__PLUS(s(cons(z0, z1)), x1) -> c20(MARK(cons(z0, z1))) A__PLUS(s(cons2(z0, z1)), x1) -> c20(MARK(cons2(z0, z1))) A__PLUS(s(rcons(z0, z1)), x1) -> c20(MARK(rcons(z0, z1))) A__PLUS(s(x0), from(z0)) -> c21(A__PLUS(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__PLUS(s(x0), 2ndspos(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__PLUS(s(x0), 2ndsneg(z0, z1)) -> c21(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__PLUS(s(x0), pi(z0)) -> c21(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) A__PLUS(s(x0), plus(z0, z1)) -> c21(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__PLUS(s(x0), times(z0, z1)) -> c21(A__PLUS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__PLUS(s(x0), square(z0)) -> c21(A__PLUS(mark(x0), a__square(mark(z0))), MARK(square(z0))) A__PLUS(s(x0), s(z0)) -> c21(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) A__PLUS(s(x0), posrecip(z0)) -> c21(A__PLUS(mark(x0), posrecip(mark(z0))), MARK(posrecip(z0))) A__PLUS(s(x0), negrecip(z0)) -> c21(A__PLUS(mark(x0), negrecip(mark(z0))), MARK(negrecip(z0))) A__PLUS(s(x0), cons(z0, z1)) -> c21(A__PLUS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__PLUS(s(x0), cons2(z0, z1)) -> c21(A__PLUS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__PLUS(s(x0), rcons(z0, z1)) -> c21(A__PLUS(mark(x0), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__PLUS(s(from(z0)), x1) -> c21(A__PLUS(a__from(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(2ndspos(z0, z1)), x1) -> c21(A__PLUS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(2ndsneg(z0, z1)), x1) -> c21(A__PLUS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(pi(z0)), x1) -> c21(A__PLUS(a__pi(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(plus(z0, z1)), x1) -> c21(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(times(z0, z1)), x1) -> c21(A__PLUS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) A__PLUS(s(square(z0)), x1) -> c21(A__PLUS(a__square(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(0), x1) -> c21(A__PLUS(0, mark(x1)), MARK(x1)) A__PLUS(s(s(z0)), x1) -> c21(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) A__PLUS(s(x0), 0) -> c21(A__PLUS(mark(x0), 0)) A__PLUS(s(x0), nil) -> c21(A__PLUS(mark(x0), nil)) A__PLUS(s(x0), rnil) -> c21(A__PLUS(mark(x0), rnil)) A__PLUS(s(posrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(negrecip(z0)), x1) -> c21(MARK(x1)) A__PLUS(s(nil), x1) -> c21(MARK(x1)) A__PLUS(s(cons(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(cons2(z0, z1)), x1) -> c21(MARK(x1)) A__PLUS(s(rnil), x1) -> c21(MARK(x1)) A__PLUS(s(rcons(z0, z1)), x1) -> c21(MARK(x1)) A__TIMES(s(x0), x1) -> c24(A__PLUS(mark(x1), times(mark(x0), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(mark(from(z0)), a__times(mark(x0), a__from(mark(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(pi(z0)), a__times(mark(x0), a__pi(mark(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(mark(square(z0)), a__times(mark(x0), a__square(mark(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(mark(s(z0)), a__times(mark(x0), s(mark(z0)))), MARK(s(z0))) A__TIMES(s(x0), posrecip(z0)) -> c24(A__PLUS(mark(posrecip(z0)), a__times(mark(x0), posrecip(mark(z0)))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(A__PLUS(mark(negrecip(z0)), a__times(mark(x0), negrecip(mark(z0)))), MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(A__PLUS(mark(cons(z0, z1)), a__times(mark(x0), cons(mark(z0), z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(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) -> c24(A__PLUS(mark(x1), a__times(a__from(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(2ndspos(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndspos(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(2ndsneg(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__2ndsneg(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(pi(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__pi(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(plus(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(times(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(a__times(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(square(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(a__square(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(0), x1) -> c24(A__PLUS(mark(x1), a__times(0, mark(x1))), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(s(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(posrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(posrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(negrecip(z0)), x1) -> c24(A__PLUS(mark(x1), a__times(negrecip(mark(z0)), mark(x1))), MARK(x1)) A__TIMES(s(nil), x1) -> c24(A__PLUS(mark(x1), a__times(nil, mark(x1))), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons(mark(z0), z1), mark(x1))), MARK(x1)) A__TIMES(s(cons2(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(rnil), x1) -> c24(A__PLUS(mark(x1), a__times(rnil, mark(x1))), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c24(A__PLUS(mark(x1), a__times(rcons(mark(z0), mark(z1)), mark(x1))), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c24(A__PLUS(a__from(mark(z0)), a__times(mark(x0), mark(from(z0)))), MARK(from(z0))) A__TIMES(s(x0), 2ndspos(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__pi(mark(z0)), a__times(mark(x0), mark(pi(z0)))), MARK(pi(z0))) A__TIMES(s(x0), plus(z0, z1)) -> c24(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)) -> c24(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)) -> c24(A__PLUS(a__square(mark(z0)), a__times(mark(x0), mark(square(z0)))), MARK(square(z0))) A__TIMES(s(x0), s(z0)) -> c24(A__PLUS(s(mark(z0)), a__times(mark(x0), mark(s(z0)))), MARK(s(z0))) A__TIMES(s(x0), 0) -> c24(A__PLUS(mark(0), a__times(mark(x0), 0))) A__TIMES(s(x0), nil) -> c24(A__PLUS(mark(nil), a__times(mark(x0), nil))) A__TIMES(s(x0), rnil) -> c24(A__PLUS(mark(rnil), a__times(mark(x0), rnil))) A__TIMES(s(x0), 0) -> c24(A__PLUS(0, a__times(mark(x0), mark(0)))) A__TIMES(s(x0), posrecip(z0)) -> c24(MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c24(MARK(negrecip(z0))) A__TIMES(s(x0), cons(z0, z1)) -> c24(MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c24(MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c24(MARK(rcons(z0, z1))) A__TIMES(s(x0), x1) -> c25(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x0)) A__TIMES(s(x0), from(z0)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(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), cons2(z0, z1)) -> c25(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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) -> c25(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(cons2(z0, z1)), x1) -> c25(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(cons2(z0, z1))) A__TIMES(s(rcons(z0, z1)), x1) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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)) -> c25(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) -> c25(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0)), MARK(x0)) A__TIMES(s(x0), s(z0)) -> c25(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) -> c25(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1))) A__TIMES(s(nil), x1) -> c25(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1))) A__TIMES(s(rnil), x1) -> c25(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1))) A__TIMES(s(x0), posrecip(z0)) -> c25(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(x0)) A__TIMES(s(x0), negrecip(z0)) -> c25(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(x0)) A__TIMES(s(x0), nil) -> c25(A__TIMES(mark(x0), mark(nil)), MARK(x0)) A__TIMES(s(x0), cons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(x0)) A__TIMES(s(x0), cons2(z0, z1)) -> c25(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(x0)) A__TIMES(s(x0), rnil) -> c25(A__TIMES(mark(x0), mark(rnil)), MARK(x0)) A__TIMES(s(x0), rcons(z0, z1)) -> c25(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(x0)) A__TIMES(s(x0), x1) -> c26(A__PLUS(mark(x1), times(mark(x0), mark(x1))), A__TIMES(mark(x0), mark(x1)), MARK(x1)) A__TIMES(s(x0), from(z0)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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), cons2(z0, z1)) -> c26(A__PLUS(mark(cons2(z0, z1)), a__times(mark(x0), cons2(z0, mark(z1)))), A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(0, mark(x1))), A__TIMES(mark(0), mark(x1)), MARK(x1)) A__TIMES(s(s(z0)), x1) -> c26(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) -> c26(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) -> c26(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) -> c26(A__PLUS(mark(x1), a__times(nil, mark(x1))), A__TIMES(mark(nil), mark(x1)), MARK(x1)) A__TIMES(s(cons(z0, z1)), x1) -> c26(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(cons2(z0, z1)), x1) -> c26(A__PLUS(mark(x1), a__times(cons2(z0, mark(z1)), mark(x1))), A__TIMES(mark(cons2(z0, z1)), mark(x1)), MARK(x1)) A__TIMES(s(rnil), x1) -> c26(A__PLUS(mark(x1), a__times(rnil, mark(x1))), A__TIMES(mark(rnil), mark(x1)), MARK(x1)) A__TIMES(s(rcons(z0, z1)), x1) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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)) -> c26(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) -> c26(A__PLUS(mark(0), a__times(mark(x0), 0)), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), nil) -> c26(A__PLUS(mark(nil), a__times(mark(x0), nil)), A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), rnil) -> c26(A__PLUS(mark(rnil), a__times(mark(x0), rnil)), A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), 0) -> c26(A__PLUS(0, a__times(mark(x0), mark(0))), A__TIMES(mark(x0), mark(0))) A__TIMES(s(x0), posrecip(z0)) -> c26(A__TIMES(mark(x0), mark(posrecip(z0))), MARK(posrecip(z0))) A__TIMES(s(x0), negrecip(z0)) -> c26(A__TIMES(mark(x0), mark(negrecip(z0))), MARK(negrecip(z0))) A__TIMES(s(x0), nil) -> c26(A__TIMES(mark(x0), mark(nil))) A__TIMES(s(x0), cons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons(z0, z1))), MARK(cons(z0, z1))) A__TIMES(s(x0), cons2(z0, z1)) -> c26(A__TIMES(mark(x0), mark(cons2(z0, z1))), MARK(cons2(z0, z1))) A__TIMES(s(x0), rnil) -> c26(A__TIMES(mark(x0), mark(rnil))) A__TIMES(s(x0), rcons(z0, z1)) -> c26(A__TIMES(mark(x0), mark(rcons(z0, z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c28(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c28(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c28(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c28(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c28(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c28(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c28(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c28(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c28(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c28(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c28(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c28(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c28(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c28(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c28(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c28(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c28(MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(mark(from(z0)), a__from(mark(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(mark(2ndspos(z0, z1)), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(mark(2ndsneg(z0, z1)), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(mark(pi(z0)), a__pi(mark(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(mark(plus(z0, z1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(mark(times(z0, z1)), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(mark(square(z0)), a__square(mark(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(mark(s(z0)), s(mark(z0))), MARK(s(z0))) A__SQUARE(posrecip(z0)) -> c29(A__TIMES(mark(posrecip(z0)), posrecip(mark(z0))), MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(A__TIMES(mark(negrecip(z0)), negrecip(mark(z0))), MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(A__TIMES(mark(cons(z0, z1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(A__TIMES(mark(cons2(z0, z1)), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(A__TIMES(mark(rcons(z0, z1)), rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) A__SQUARE(from(z0)) -> c29(A__TIMES(a__from(mark(z0)), mark(from(z0))), MARK(from(z0))) A__SQUARE(2ndspos(z0, z1)) -> c29(A__TIMES(a__2ndspos(mark(z0), mark(z1)), mark(2ndspos(z0, z1))), MARK(2ndspos(z0, z1))) A__SQUARE(2ndsneg(z0, z1)) -> c29(A__TIMES(a__2ndsneg(mark(z0), mark(z1)), mark(2ndsneg(z0, z1))), MARK(2ndsneg(z0, z1))) A__SQUARE(pi(z0)) -> c29(A__TIMES(a__pi(mark(z0)), mark(pi(z0))), MARK(pi(z0))) A__SQUARE(plus(z0, z1)) -> c29(A__TIMES(a__plus(mark(z0), mark(z1)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__SQUARE(times(z0, z1)) -> c29(A__TIMES(a__times(mark(z0), mark(z1)), mark(times(z0, z1))), MARK(times(z0, z1))) A__SQUARE(square(z0)) -> c29(A__TIMES(a__square(mark(z0)), mark(square(z0))), MARK(square(z0))) A__SQUARE(s(z0)) -> c29(A__TIMES(s(mark(z0)), mark(s(z0))), MARK(s(z0))) A__SQUARE(0) -> c29(A__TIMES(mark(0), 0)) A__SQUARE(nil) -> c29(A__TIMES(mark(nil), nil)) A__SQUARE(rnil) -> c29(A__TIMES(mark(rnil), rnil)) A__SQUARE(posrecip(z0)) -> c29(MARK(posrecip(z0))) A__SQUARE(negrecip(z0)) -> c29(MARK(negrecip(z0))) A__SQUARE(cons(z0, z1)) -> c29(MARK(cons(z0, z1))) A__SQUARE(cons2(z0, z1)) -> c29(MARK(cons2(z0, z1))) A__SQUARE(rcons(z0, z1)) -> c29(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c32(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, pi(z0))) -> c32(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndspos(x0, plus(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, times(z0, z1))) -> c32(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndspos(x0, square(z0))) -> c32(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndspos(x0, cons(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndspos(x0, cons2(z0, z1))) -> c32(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndspos(from(z0), x1)) -> c32(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c32(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndspos(pi(z0), x1)) -> c32(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndspos(plus(z0, z1), x1)) -> c32(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndspos(times(z0, z1), x1)) -> c32(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndspos(square(z0), x1)) -> c32(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndspos(s(z0), x1)) -> c32(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndspos(x0, 0)) -> c32(MARK(x0)) MARK(2ndspos(x0, s(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, posrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, negrecip(z0))) -> c32(MARK(x0)) MARK(2ndspos(x0, nil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rnil)) -> c32(MARK(x0)) MARK(2ndspos(x0, rcons(z0, z1))) -> c32(MARK(x0)) MARK(2ndspos(posrecip(z0), x1)) -> c32(MARK(posrecip(z0))) MARK(2ndspos(negrecip(z0), x1)) -> c32(MARK(negrecip(z0))) MARK(2ndspos(cons(z0, z1), x1)) -> c32(MARK(cons(z0, z1))) MARK(2ndspos(cons2(z0, z1), x1)) -> c32(MARK(cons2(z0, z1))) MARK(2ndspos(rcons(z0, z1), x1)) -> c32(MARK(rcons(z0, z1))) MARK(2ndspos(x0, from(z0))) -> c33(A__2NDSPOS(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndspos(x0, 2ndspos(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndspos(x0, 2ndsneg(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndspos(x0, pi(z0))) -> c33(A__2NDSPOS(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndspos(x0, plus(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndspos(x0, times(z0, z1))) -> c33(A__2NDSPOS(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndspos(x0, square(z0))) -> c33(A__2NDSPOS(mark(x0), a__square(mark(z0))), MARK(square(z0))) MARK(2ndspos(x0, cons(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(2ndspos(x0, cons2(z0, z1))) -> c33(A__2NDSPOS(mark(x0), cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(2ndspos(from(z0), x1)) -> c33(A__2NDSPOS(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndspos(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(2ndsneg(z0, z1), x1)) -> c33(A__2NDSPOS(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(pi(z0), x1)) -> c33(A__2NDSPOS(a__pi(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(plus(z0, z1), x1)) -> c33(A__2NDSPOS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(times(z0, z1), x1)) -> c33(A__2NDSPOS(a__times(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(2ndspos(square(z0), x1)) -> c33(A__2NDSPOS(a__square(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(s(z0), x1)) -> c33(A__2NDSPOS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(2ndspos(x0, s(z0))) -> c33(MARK(s(z0))) MARK(2ndspos(x0, posrecip(z0))) -> c33(MARK(posrecip(z0))) MARK(2ndspos(x0, negrecip(z0))) -> c33(MARK(negrecip(z0))) MARK(2ndspos(x0, rcons(z0, z1))) -> c33(MARK(rcons(z0, z1))) MARK(2ndspos(0, x1)) -> c33(MARK(x1)) MARK(2ndspos(posrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(negrecip(z0), x1)) -> c33(MARK(x1)) MARK(2ndspos(nil, x1)) -> c33(MARK(x1)) MARK(2ndspos(cons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(cons2(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndspos(rnil, x1)) -> c33(MARK(x1)) MARK(2ndspos(rcons(z0, z1), x1)) -> c33(MARK(x1)) MARK(2ndsneg(x0, from(z0))) -> c34(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, pi(z0))) -> c34(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, plus(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, times(z0, z1))) -> c34(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(x0)) MARK(2ndsneg(x0, square(z0))) -> c34(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(x0)) MARK(2ndsneg(x0, cons(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(2ndsneg(x0, cons2(z0, z1))) -> c34(A__2NDSNEG(mark(x0), cons2(z0, mark(z1))), MARK(x0)) MARK(2ndsneg(from(z0), x1)) -> c34(A__2NDSNEG(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(2ndsneg(2ndspos(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndspos(mark(z0), mark(z1)), mark(x1)), MARK(2ndspos(z0, z1))) MARK(2ndsneg(2ndsneg(z0, z1), x1)) -> c34(A__2NDSNEG(a__2ndsneg(mark(z0), mark(z1)), mark(x1)), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(pi(z0), x1)) -> c34(A__2NDSNEG(a__pi(mark(z0)), mark(x1)), MARK(pi(z0))) MARK(2ndsneg(plus(z0, z1), x1)) -> c34(A__2NDSNEG(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(2ndsneg(times(z0, z1), x1)) -> c34(A__2NDSNEG(a__times(mark(z0), mark(z1)), mark(x1)), MARK(times(z0, z1))) MARK(2ndsneg(square(z0), x1)) -> c34(A__2NDSNEG(a__square(mark(z0)), mark(x1)), MARK(square(z0))) MARK(2ndsneg(s(z0), x1)) -> c34(A__2NDSNEG(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(2ndsneg(x0, 0)) -> c34(MARK(x0)) MARK(2ndsneg(x0, s(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, posrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, negrecip(z0))) -> c34(MARK(x0)) MARK(2ndsneg(x0, nil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rnil)) -> c34(MARK(x0)) MARK(2ndsneg(x0, rcons(z0, z1))) -> c34(MARK(x0)) MARK(2ndsneg(posrecip(z0), x1)) -> c34(MARK(posrecip(z0))) MARK(2ndsneg(negrecip(z0), x1)) -> c34(MARK(negrecip(z0))) MARK(2ndsneg(cons(z0, z1), x1)) -> c34(MARK(cons(z0, z1))) MARK(2ndsneg(cons2(z0, z1), x1)) -> c34(MARK(cons2(z0, z1))) MARK(2ndsneg(rcons(z0, z1), x1)) -> c34(MARK(rcons(z0, z1))) MARK(2ndsneg(x0, from(z0))) -> c35(A__2NDSNEG(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(2ndsneg(x0, 2ndspos(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(2ndsneg(x0, 2ndsneg(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(2ndsneg(x0, pi(z0))) -> c35(A__2NDSNEG(mark(x0), a__pi(mark(z0))), MARK(pi(z0))) MARK(2ndsneg(x0, plus(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(2ndsneg(x0, times(z0, z1))) -> c35(A__2NDSNEG(mark(x0), a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(2ndsneg(x0, square(z0))) -> c35(A__2NDSNEG(mark(x0), a__square(mark(z0))), MARK(square(z0))) 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MARK(2ndsneg(x0, posrecip(z0))) -> c35(MARK(posrecip(z0))) MARK(2ndsneg(x0, negrecip(z0))) -> c35(MARK(negrecip(z0))) MARK(2ndsneg(x0, rcons(z0, z1))) -> c35(MARK(rcons(z0, z1))) MARK(2ndsneg(0, x1)) -> c35(MARK(x1)) MARK(2ndsneg(posrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(negrecip(z0), x1)) -> c35(MARK(x1)) MARK(2ndsneg(nil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(cons2(z0, z1), x1)) -> c35(MARK(x1)) MARK(2ndsneg(rnil, x1)) -> c35(MARK(x1)) MARK(2ndsneg(rcons(z0, z1), x1)) -> c35(MARK(x1)) MARK(plus(x0, from(z0))) -> c37(A__PLUS(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(plus(x0, 2ndspos(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndspos(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, 2ndsneg(z0, z1))) -> c37(A__PLUS(mark(x0), a__2ndsneg(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, pi(z0))) -> c37(A__PLUS(mark(x0), a__pi(mark(z0))), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c37(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) 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MARK(times(x0, rnil)) -> c40(A__TIMES(mark(x0), rnil)) MARK(times(0, x1)) -> c40(MARK(x1)) MARK(times(posrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(negrecip(z0), x1)) -> c40(MARK(x1)) MARK(times(nil, x1)) -> c40(MARK(x1)) MARK(times(cons(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(cons2(z0, z1), x1)) -> c40(MARK(x1)) MARK(times(rnil, x1)) -> c40(MARK(x1)) MARK(times(rcons(z0, z1), x1)) -> c40(MARK(x1)) MARK(square(from(z0))) -> c41(A__SQUARE(a__from(mark(z0))), MARK(from(z0))) MARK(square(2ndspos(z0, z1))) -> c41(A__SQUARE(a__2ndspos(mark(z0), mark(z1))), MARK(2ndspos(z0, z1))) MARK(square(2ndsneg(z0, z1))) -> c41(A__SQUARE(a__2ndsneg(mark(z0), mark(z1))), MARK(2ndsneg(z0, z1))) MARK(square(pi(z0))) -> c41(A__SQUARE(a__pi(mark(z0))), MARK(pi(z0))) MARK(square(plus(z0, z1))) -> c41(A__SQUARE(a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(square(times(z0, z1))) -> c41(A__SQUARE(a__times(mark(z0), mark(z1))), MARK(times(z0, z1))) MARK(square(square(z0))) -> c41(A__SQUARE(a__square(mark(z0))), MARK(square(z0))) MARK(square(s(z0))) -> c41(A__SQUARE(s(mark(z0))), MARK(s(z0))) MARK(square(posrecip(z0))) -> c41(A__SQUARE(posrecip(mark(z0))), MARK(posrecip(z0))) MARK(square(negrecip(z0))) -> c41(A__SQUARE(negrecip(mark(z0))), MARK(negrecip(z0))) MARK(square(cons(z0, z1))) -> c41(A__SQUARE(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(square(cons2(z0, z1))) -> c41(A__SQUARE(cons2(z0, mark(z1))), MARK(cons2(z0, z1))) MARK(square(rcons(z0, z1))) -> c41(A__SQUARE(rcons(mark(z0), mark(z1))), MARK(rcons(z0, z1))) MARK(square(0)) -> c41(A__SQUARE(0)) MARK(square(nil)) -> c41(A__SQUARE(nil)) MARK(square(rnil)) -> c41(A__SQUARE(rnil)) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, cons(mark(mark(x2)), from(s(mark(x2)))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, from(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__from(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__from(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__from(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__from(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, from(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, from(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__from(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndspos(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndspos(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndspos(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndspos(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndspos(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndsneg(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__2ndsneg(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, 2ndsneg(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, 2ndsneg(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__2ndsneg(mark(x2), mark(x3))))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__2ndspos(mark(mark(x2)), a__from(0)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, pi(rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__pi(rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__pi(mark(x2)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__pi(mark(x2)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__pi(mark(x2)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, pi(x2))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(nil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(rnil), cons(x1, pi(x2))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__pi(mark(x2))))) A__2NDSPOS(s(x0), cons(x1, plus(x2, from(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__from(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 2ndspos(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__2ndspos(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 2ndsneg(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__2ndsneg(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, pi(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__pi(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, plus(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__plus(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, times(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__times(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, square(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), a__square(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, 0))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), 0))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, s(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), s(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, posrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), posrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, negrecip(z0)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), negrecip(mark(z0))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, nil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), nil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, cons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), cons(mark(z0), z1)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, cons2(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), cons2(z0, mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, rnil))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), rnil))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(x2, rcons(z0, z1)))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(mark(x2), rcons(mark(z0), mark(z1))))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(from(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__from(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(2ndspos(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__2ndspos(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(2ndsneg(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__2ndsneg(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(pi(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__pi(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(plus(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__plus(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(times(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__times(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(square(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(a__square(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(0, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(0, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(s(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(s(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(posrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(posrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(negrecip(z0), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(negrecip(mark(z0)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(nil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(nil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(cons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(cons(mark(z0), z1), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(cons2(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(cons2(z0, mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(rnil, x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(rnil, mark(x3)))), MARK(x0)) A__2NDSPOS(s(x0), cons(x1, plus(rcons(z0, z1), x3))) -> c3(A__2NDSPOS(s(mark(x0)), cons2(x1, a__plus(rcons(mark(z0), mark(z1)), mark(x3)))), MARK(x0)) A__2NDSPOS(s(from(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__from(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(from(z0))) A__2NDSPOS(s(2ndspos(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndspos(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(2ndspos(z0, z1))) A__2NDSPOS(s(2ndsneg(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__2ndsneg(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(2ndsneg(z0, z1))) A__2NDSPOS(s(pi(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__pi(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(pi(z0))) A__2NDSPOS(s(plus(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__plus(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(plus(z0, z1))) A__2NDSPOS(s(times(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__times(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(times(z0, z1))) A__2NDSPOS(s(square(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(a__square(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(square(z0))) A__2NDSPOS(s(s(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(s(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(s(z0))) A__2NDSPOS(s(posrecip(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(posrecip(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(posrecip(z0))) A__2NDSPOS(s(negrecip(z0)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(negrecip(mark(z0))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(negrecip(z0))) A__2NDSPOS(s(cons(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(cons(mark(z0), z1)), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(cons(z0, z1))) A__2NDSPOS(s(cons2(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(cons2(z0, mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(cons2(z0, z1))) A__2NDSPOS(s(rcons(z0, z1)), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(rcons(mark(z0), mark(z1))), cons2(x1, a__plus(mark(x2), mark(x3)))), MARK(rcons(z0, z1))) A__2NDSPOS(s(x0), cons(x1, plus(x2, x3))) -> c3(MARK(x0)) A__2NDSPOS(s(0), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(0), cons2(x1, a__plus(mark(x2), mark(x3))))) A__2NDSPOS(s(nil), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(nil), cons2(x1, a__plus(mark(x2), mark(x3))))) A__2NDSPOS(s(rnil), cons(x1, plus(x2, x3))) -> c3(A__2NDSPOS(s(rnil), cons2(x1, a__plus(mark(x2), 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__PLUS_2, MARK_1, A__PI_1, A__TIMES_2, A__SQUARE_1 Compound Symbols: c_1, c5_1, c12_1, c19_1, c31_2, c36_2, c43_1, c44_1, c45_1, c47_1, c48_1, c50_1, c51_1, c3_2, c3_1, c4_2, c4_1, c6_2, c6_1, c7_2, c7_1, c10_2, c10_1, c11_2, c11_1, c13_2, c13_1, c14_2, c14_1, c16_2, c16_1, c17_2, c17_1, c20_2, c20_1, c21_2, c21_1, c24_2, c24_1, c25_3, c25_2, c26_3, c26_2, c26_1, c28_2, c28_1, c29_2, c29_1, c32_2, c32_1, c33_2, c33_1, c34_2, c34_1, c35_2, c35_1, c37_2, c37_1, c38_2, c38_1, c39_2, c39_1, c40_2, c40_1, c41_2, c41_1